The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. The two types of biscuits require the following resources:

Biscuit	Labor (hr.)	Sausage (lb.)	Ham (lb.)	Flour (lb.)
Sausage	0.010	0.10	---	0.04
Ham	0.024	---	0.15	0.04

The franchise has 6 hours of labor available each morning. The manager has a contract with a local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also purchases 16 pounds of flour. The profit for a sausage biscuit is $0.60; the profit for a ham biscuit is $0.50. The manager developed a mathematical model and solved it using excel solver. Answer the following questions based on the excel solver sensitivity report below.

Variable Cells

Name	Final Value	Reduced Cost	Objective Coefficient	Allowable Increase	Allowable Decrease
Sausage Biscuits	300	0	0.6	1E+30	0.1
Ham Biscuits	100	0	0.5	0.1	0.5

Constraints

Name	Final Value	Shadow Price	Constraint R.H. Side	Allowable Increase	Allowable Decrease
Labor Usage (hr/unit)	5.4	0	6	1E+30	0.6
Sausage Usage (lb/unit)	30	1	30	10	4.285714286
Ham Usage (lb/unit)	15	0	30	1E+30	15
Flour Usage (lb/unit)	16	12.5	16	1	4

a) Formulate a linear programming model for this problem.

Please show the related cells in the excel report for answering the following questions:
b) What would be the change in the profit, if the available sausage increases to 35 pounds?
c) What is the range for the profit from Ham biscuit that keeps the current solution optimal?
d) How much extra sausage and ham is left over at the optimal solution point? Is there any idle labor time?
e) Will you consider buying additional Ham or Sausage as raw materials? If so, what will be prices (per lb) will you recommend buying Ham / Sausage?

f) What would be the effect on the optimal solution if the manager could obtain 2 more pounds of flour?

Answer rating: 100% (QA)

Answer Step1 Decide decision variables ... View the full answer