Consider the following linear programming model: Minimize Costs = $2P + $3R Subject to 2.5P + 4R

Question:

Consider the following linear programming model:

Minimize Costs = $2P + $3R

Subject to

2.5P + 4R ≥ 100 (units of calcium)

7.5P + 3R ≥ 120 (units of calories)

2P + 6R ≥ 90 (units of protein)

R ≥ 5 (ounces)

P, R ≥ 0

1. What are the optimal solution values of the decision variables?

2. How much surplus or slack does each constraint have, and what do these values mean?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Operations Management Managing Global Supply Chains

ISBN: 978-1506302935

1st edition

Authors: Ray R. Venkataraman, Jeffrey K. Pinto

See More Books

Question Posted: Nov 30, 2018 05:26 AM

See More Questions

Consider the following linear programming model: maximize Z = 5x1 + 4x2 subject to 3x1 + 4x2 10 x1, x2 0 and integer Demonstrate the graphical solution of this model.
Consider the following linear programming model: Maximize Profits = $6X + $5Y Subject to 3X + 2Y 24 (hours of fabrication time) 2X + 4Y 40 (hours of assembly time) X, Y 0 1. What are the optimal...
Consider the following linear programming problem: Maximize profit = 30X1 + 10X2 Subject to: 3X1 + X2 300 X1 + X2 200 X1 100 X2 50 X1 X2 0 X1, X2 0 (a) Solve the problem graphically. (b) Is...
Ms. Robin Nestor is provided with an automobile that is owned by her employer. The employer purchased the car in 2018 for $54,000, plus $7,020 in HST. During 2019, she drives a car a total of 72,000...
The financial statements of Eastern Platinum Limited (Eastplats) are presented in Appendix A at the end of this book. The following selected information (in U.S. thousands) has been taken from these,...
Simple Interest versus Compound Interest First City Bank pays 6 percent simple interest on its savings account balances, whereas Second City Bank pays 6 percent interest compounded annually, if you...
Over the past year, M.D. Ryngaert & Co. had an increase in its current ratio and a decline in its total assets turnover ratio. However, the companys sales, cash and equivalents, DSO, and fixed assets...
Thomas was sent a credit card through the mail by a company that had taken his name and address from the telephone book. Because he never requested the card, Thomas left the card lying on his desk. A...
Andy retires after 20 long years working for Gibbs Tech. At his retirement party, the company awards him with a gift certificate to his favorite restaurant as a retirement gift in the amount of $400....
Kimber Co. is in the process of liquidating and going out of business. The firm?s accountant has provided the following balance sheet and additional information: It is estimated that all but 20...
Discuss briefly the steps involved in formulating a linear programming model.
How is the feasible solution region defined on the graph of a linear programming model?
At t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (6.00 m/s2) i + (4.00 m/s2) j. It moves at constant speed. At time t2 = 5.00 s, its acceleration is (4.00 m/s2) i...
Sketch the curves with equations given in question 3 parts a, b, c and d, labelling any stationary points with their coordinates. Data from Question 3 Find the coordinates of the points where the...
Trace the polygon and point P on paper. Then draw a rotation of the polygon the given number of degrees about P. 130 Q R T P S
Name any devices other than the three mentioned in Section 31. 1-battery, solar cell, and electric generator that can act as a power source in an electric circuit. Data from Section 31. 1...
A thick resistor and a thin resistor of the same length and material are connected in series, as shown in Figure 31. 29. Which resistor has $(a)$ the greater potential difference across it and...
Note that the amount of 25k that has already been spent on developing the website is not included in this analysis, as it represents a sunk cost. The decision rule for ARR is that a project should be...
For a given population of a single quantitative variable, by what factor must the sample size increase in order for the standard deviation of the sampling distribution of the mean to be half as large?
Heineken N.V., a global brewer based in the Netherlands, reports the following balance sheet accounts for the year ended December 31, 2016 (euros in millions). Prepare the balance sheet for this...
How is internal application integration accomplished?
What does enterprise application integration refer to, and how is this accomplished?
What are RMSs and how are they used?
An 8%, 30-year semi-annual corporate bond was recently being priced to yield 10%. The Macaulay duration for this bond is 10.2 years. What is the bonds modified duration? How much will the price of...
Question 7 of 7 0/14 W PIERDERY Current Attempt in Progress Your answer is incorrect Buffalo Corporation adopted the dollar value LIFO retail inventory method on January 1, 2019. At that time the...
Cost of debt with fees . Kenny Enterprises will issue a bond with a par value of $1,000, a maturity of twenty years, and a coupon rate of 9.9% with semiannual payments, and will use an investment...

Consider the following linear programming model: Minimize Costs = $2P + $3R Subject to 2.5P + 4R

Question:

Step by Step Answer:

1 Costs are minimized at 76 when P 8 and R 20 2 The third ...View the full answer

Operations Management Managing Global Supply Chains

Students also viewed these Business questions