To maximize profit, the candy manufacturer should use mathematical linear programming. The decision variables are the amounts of Candy A (x) and Candy B (y). The profit function P = 285x + 260y is to be maximized subject to constraints arising from available stock of dark chocolate, caramel, and walnuts, leading to a typical linear programming problem.
Explanation:To solve this problem, we need to use Linear Programming, a mathematical model that helps in making optimal decisions. The candies are what we call decision variables. Our decision variables here are Candy A and Candy B.
Candy A: x kilograms (dark chocolate and caramel in equal parts).
Candy B: y kilograms (two parts of dark chocolate and one part of walnut).
We want to maximize the profit function P = 285x + 260y subject to constraints arising from the available stock of dark chocolate (DC), caramel (C), and walnuts (W).
DC constraint: A uses DC in equal parts, and B uses two parts DC. Therefore, x + 2y ≤ 360.C constraint: A uses equal parts C, x ≤ 430 (as B doesn't use C).W constraint: B uses one part W, y ≤ 210 (as A doesn't use W).
The next step is to solve these inequalities graphically or using mathematical methods to get values of x and y that maximize P while respecting constraints. This case, where we want to optimize a certain function with respect to constraints, is a typical linear programming problem in mathematics.
Learn more about Linear Programming here:https://brainly.com/question/34674455
#SPJ12
Which of the following is a solution to the inequality below?
-6x2 + 20x - 17 > y
A. (0,0)
B. (2,-2)
C. (1,5)
D. (5,2)
david's mass is 5kg less than john's,who in turn is 8kg lighter than paul.if their total mass is 197kg.how heavy is each person.
Answer:
Paul is 70 kg, John is 62 kg and David is 65 kg.
Step-by-step explanation:
Let x the mass for each person.
Paul = x
John is lighter than Paul, so John = x-8
David's mass is 5 kg less than John's, so David = x-5
Solution:
Make an equation.
x + (x-8) + (x-5) = 197
3x -13 = 197
3x = 197 + 13
3x= 210, then divide both side by 3, to get 70.
Do substitution to get a correct answer.
70+62+65= 197
197= 197
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply.
T(n) = 4n - 5
A.
27
B.
37
C.
T(5) + T(3)
D.
T(7) + 4
A jet flies 600 kilometers in 3/4 of an hour.how far can this jet fly n 1/ hour
Which expression is equivalent to 4√32⋅√2 ?
The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70 − 5x.
What does the value 70 represent?
A. the number of people in the line when the ticket booth opened
B. the number of people who bought tickets every minute
C. the number of minutes it takes to sell all the tickets
D. the total number of tickets available
The 70 represents the no of people in the line at the time when the ticket booth is opened.
Given that,
The time is in minutes.And, the given expression is 70 - 5x.Based on the above information, the 70 shows that the number of people at the time when the ticket booth is opened.
Therefore, the other options are wrong.
Thus we can conclude that the 70 represents the no of people in the line at the time when the ticket booth is opened.
Learn more: brainly.com/question/22401678
Factoring the following by using the grouping method and identify one of the factors below: 28xy − 154x + 20y − 110?
A. x − 4
B. 7x + 4
C. 7x − 11
D. 2y − 11
Please explain how you've gotten the answer or explain what I have to do to get the answer. Thanks. ^^
Suppose one bottle of paint can cover 20 tiles. you have 348 tiles. how many bottles of paint do you need to buy to cover all 348 tiles? explain.
To cover 348 tiles when one bottle can cover 20 tiles, you divide 348 by 20 which equals 17.4, and then round up to 18 bottles since you can't buy a fraction of a bottle.
To determine how many bottles of paint are needed to cover 348 tiles when one bottle covers 20 tiles, you should divide the total number of tiles by the number of tiles that can be covered by one bottle. The calculation is as follows:
Divide 348 (the total number of tiles) by 20 (the number of tiles one bottle of paint can cover).
348 \/ 20 = 17.4
Since you can't buy a fraction of a bottle, you would need to round up to the next whole number. Therefore, you need 18 bottles of paint to cover all 348 tiles.
solve system by elimination
9x-3y=3
3x+8y=-17
Final answer:
The system of equations 9x - 3y = 3 and 3x + 8y = -17 is solved using elimination. By multiplying the second equation by 3 and subtracting the first from the resulting equation, y is eliminated and found to be -2. Substituting y into one of the original equations then gives x as -1/3.
Explanation:
Solving a System of Equations by Elimination
To solve the system by elimination, we aim to eliminate one of the variables by combining the equations. We have the equations 9x - 3y = 3 and 3x + 8y = -17. Let's multiply the second equation by 3 to align the coefficients of x.
After multiplication, our system looks like this:
9x - 3y = 3 (Equation 1)9x + 24y = -51 (Equation 2 multiplied by 3)
Now, subtract Equation 1 from Equation 2, which eliminates the x variable:
-3y - 24y = 3 - (-51)
-27y = 54
To find the value of y, divide both sides by -27:
y = -2
Now that we have y, we can substitute it back into one of the original equations to find x:
3x + 8(-2) = -17
3x - 16 = -17
3x = -1
x = -1/3
So the solution to the system is x = -1/3 and y = -2.
Which algebraic expression is a polynomial with a degree of 2?
What is the coefficient of the term of degree 1 in the polynomial below?
4x2 + 3x9 - 6x3 + 5x - 8
A. -6
B. 4
C. 5
D. -8 ...?
I need some help with this It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
A) associative B) commutative C) distributive D) identity plz type the answer asap like by 7:50 or else I'm a dead man.
what object is defined using a directrix and a focus? ...?
Answer:
the answer is a parabola
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes?
Answer:
m(h)= 5.25h; 11.81
11.81 is the answer
Determine the total annual FICA tax for an annual salary of $110,330. Use $106,800 for maximum taxable earningsa.$822.14b.$844.02c.$8,221.39d.$8,440.24
A costumer bought a car and paid $1808 in sales tax. the sales tax rate is 6% what was the price of the car before sales tax?
Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be at least 15 pages long and each page has about 350 words, how many hours should Stephanie set aside to type her assignment?Show your work to receive full credit.
Which choices listed below indicate that a linear model is not the best fit for a dataset? Choose all that apply.
(3 options)
• Scatterplot shows a strong linear pattern.
• Scatterplot shows a curve pattern.
• Residual plot shows a curve pattern.
• Residual plot shows no pattern.
• Correlation coefficient is close to 1 or –1.
• Coefficient of determination is close to 1 or –
11/12 - 5/8 Write your answer as a fraction in simplest form.
To subtract[tex]\(\frac{11}{12} - \frac{5}{8}\), find a common denominator (24), then subtract numerators: \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex] in simplest form.
To subtract the fractions [tex]\(\frac{11}{12} - \frac{5}{8}\[/tex]), we need to find a common denominator.
The least common multiple (LCM) of 12 and 8 is 24.
Now, rewrite both fractions with the denominator 24:
[tex]\[\frac{11}{12} \times \frac{2}{2} = \frac{22}{24}\]\[\frac{5}{8} \times \frac{3}{3} = \frac{15}{24}\][/tex]
Now, subtract:
[tex]\[\frac{22}{24} - \frac{15}{24} = \frac{22 - 15}{24} = \frac{7}{24}\]So, \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex]
What is the value of 0.15 divided by .05
Given a slope of -6/7 and a y-intercept of -10, write the equation of the line in slope intercept form
For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?
The number of strawberries Sameer ate is 6.
Given that, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. The total number of calories in Sameer’s snack was 56.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, remaining calories=Total number of calories - Number of calories in plum
=56-32=24
Number of strawberries=24/4 =6
Therefore, the number of strawberries Sameer ate is 6.
To learn more about a unitary method visit:
https://brainly.com/question/22056199.
#SPJ6
Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward?
A. f(x) + k
B.kf(x)
C. f(x + k)
D. f(kx)
Answer:
kf(x)
Step-by-step explanation:
I got it right.
m<s=30°,mRS(arch)=84 degrees and RU is tangent to the circle at R. Find m<U.
The figure is not drawn to scale.
A) 27°
B) 12°
C) 54°
D) 24°
Answer:
B. [tex]12^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of angle U.
We have been given that measure of angle 's' is 30 degrees, so the measure of arc RT will be 2 times the measure of angle 's' as angle 's' is inscribed angle of arc RT.
[tex]\text{Measure of arc RT}=2\times 30^{\circ}[/tex]
[tex]\text{Measure of arc RT}=60^{\circ}[/tex]
We know that the measure of angle formed by intersecting secant and tangent outside a circle is half the difference of intercepted arcs.
Using Secant-tangent theorem, we can set an equation to find the measure of angle U as:
[tex]m\angle U=\frac{1}{2}\times (\text{Measure of arc RS}-\text{Measure of arc RT})[/tex]
Substituting the given values in above equation we will get,
[tex]m\angle U=\frac{1}{2}\times(84^{\circ}-60^{\circ})[/tex]
[tex]m\angle U=\frac{1}{2}\times(24^{\circ})[/tex]
[tex]m\angle U=12^{\circ}[/tex]
Therefore, the measure of angle U is 12 degrees and option B is the correct choice.
Round off or add zero to the following calculated answers to give a final answer with three significant figures: 0.00001258 L ...?
To round off or add zero to the calculated answer of 0.00001258 L and give a final answer with three significant figures, round up the last significant figure to 6.
Explanation:In order to round off or add zero to the calculated answer and give a final answer with three significant figures, follow these steps:
Start with the calculated answer: 0.00001258 LCount the number of significant figures in the given number, which is 5. Since we want to round to three significant figures, we need to round off or add zero to the answer to make it have three significant figures.In this case, the first three significant figures are 1, 2, and 5. The next digit is 8, which is greater than 5. Therefore, we round up the last significant figure to 6.The final answer, rounded off to three significant figures, is 0.0000126 L.To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following: For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
Explanation:To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following:
For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
the costs of two sound systems were decreased by $10. the original costs of the systems were $90 and $60. without calculating, which had a greater percent decrease? explain
Which is a prime number 29,51,81,93?
Answer:
29
Step-by-step explanation:
29 is only divisible by 1 and itself.
convert to an improper fraction, type your answer with the negative in the numerator.
-11 1/3 =
Desert cover about 1/7 of all land on earth.about what percent of earth's land is made up of desert
Please tell me what is a Noun? Help me..