The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. The company operates one "8 hour" shift per day. Therefore, the production time is 480 minutes per day. During the production process, one of the main ingredients, syrup is limited to maximum production capacity of 675 gallons per day. Production of a regular case requires 2 minutes and 5 gallons of syrup, while production of a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. For the production combination of 135 regular cases and 0 diet cases, which resource is completely used up (at capacity)?
a. only time
b. only syrup
c. time and syrup
d. neither time nor syrup

Mallory Furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. If the Mallory Furniture company decides to purchase 150 big shelves and no medium shelves, which of the two resources will be left over?
a. investment money only
b. storage space only
c. investment money and storage space
d. neither investment money nor storage space

Given the following linear programming problem:
Max Z = 15x + 20y
Subject to (1) 8x + 5y 40
(2) 4x + y 4
What is the maximum revenue at the optimal solution?
a. $120
b. $160
c. $185
d. $200

Given the following linear programming problem:
Min Z = 2x + 8y
Subject to (1) 8x + 4y 64
(2) 2x + 4y 32
(3) y 2
Determine the optimum values for x and y.
a. x = 2; y = 6
b. x = 6; y = 2
c. x = 12; y = 2
d. x = 2; y = 2
e. x = 6; y = 5

Which of the following could not be a linear programming problem constraint?
a. 3A + 21B > -2
b. 12A + 9B 3
c. 2A + 4B = 3
d. 4A + 7B + 2C + 9D 5

Solution Summary

The explanation to the linear program and sensitivity analysis is provided.

This is a problem related to linearprogrammingandsensitivityanalysis.
Please solve this and explain how you arrived at the solution.
Please do this in Excel by using "Solver" or management science software...which ever is convinient for you.
The problem is attached.
Thank you.

A linear program has the objective of maximizing profit = 12X + 8Y. The maximum profit is $8,000. Using a computer we find the upper bound for profit on X is 20 and the lower bound is 9. Discuss the changes to the optimal solution (the values of the variables and the profit) that would occur if the profit on X were increased to

16. In a linearprogramming problem, the binding constraints for the optimal solution are
5X + 3Y < 30
2X + 5Y < 20
a. Fill in the blanks in the following sentence:
As long as the slope of the objective function stays between ____ and ___, the current optimal solution point will remain optimal.
b. Which of these

PLEASE EXPLAIN YOUR ANSWERS (why did you choose T instead of F or A instead of C, etc.).
C 1. Which of the following is not a component of the structure of a linearprogramming model?
a. parameters
b. decision variables
c. environment of certainty
d. constraints
F 2. In a linearprogramming model, the numb

PLEASE EXPLAIN YOUR ANSWERS (why you choose A instead of C, etc.).
C 6. For a resource constraint, either its slack value must be _____ or its shadow price must be ________
a. negative, negative
b. negative, zero
c. zero, zero
d. zero, negative
D 7. For a linearprogramming problem, assume that a given

Solve the linearprogramming model developed in Problem 22 for the Burger Doodle restaurant by using the computer. a. Identify and explain the shadow prices for each of the resource constraints. b. Which of the resources constraints profit the most? c. Identify the sensitivity ranges for the profit of a sausage biscuit and the a

LinearProgramming: SensitivityAnalysisand Interpretation of Solution
Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and grinder. The times (in minutes) required on each machine are as follows:
Machine
Component Shaper Grinder
1

Bradley Family
(a) Let X1 = # of acres of corn and X2 = # of acres of tobacco
Corn Tobacco Resources Available
300 520
Land 1 1 <= 410
Budget 105 210 <= 52500
Govt. Restriction 0 1 <= 100 Government Restriction
X1 X2
Decisio

WeHaul Trucking is planning its truck purchases for the coming year. It allocated $600,000 for the purchase of additional trucks, of which three sizes are available. A large truck costs $150,000 and will return the equivalent of $15,000 per year to profit. A medium-sized truck costs $90,000 and will return the equivalent of $12,