#1.Two university students, Jim Carstens and Angie Orsini, are planning to open a walk-in pizzarestaurant near campus that they will call Big Slice Pizza. They will have no seating and will selltwo kinds of oversized slices of pizza to go, plain cheese and pepperoni. The fixed annual costincluding rent and equipment is $26,000 and the variable cost per slice is $0.67. If they sell slicesfor $3.75, how many slices will they need to sell to break even? If they forecast demand to be540 slices per week, how much profit will they make? 1. Formulate a linear model (clearly state decision variables, objectivefunction, and constraints)2. Find optimal solutions using graphical techniques as shown in classPowerPoint slides.3. Find slack or surplus variables at each optimal solution.

This question is related to the topic Break even analysis and This topic falls under Operations…

Answered: Two university students, Jim Carstens…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 11P

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Please explain the answer with explanation asap: a) Which OR problem is this? b) Decision variable? c) Objective and objective function? d) Constraints?
Variable cells Cell Name $B$6 $C$6 $D$6 $E$2 Activity 1 Constraints $E$3 Activity 2 Cell Name $E$4 Activity 3 Resource A Resource B Resource C Final Reduced Value Cost 3 6 0 0 0 -7 30 6 18 0 Objective Allowable Allowable Coefficient Increase Decrease 30 20 7.78 20 O the shadow price is not valid. 40 20 O the shadow price is valid. Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 30 O the original solution remains optimal. 40 23 50 7 10 50 17 10 1E+30 the problem must be resolved to find the optimal solution. 12.5 10 1E+30 22
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Variable cells Cell $B$6 $C$6 $D$6 Cell $E$2 $E$3 Name Constraints- $E$4 Variable 1 Variable 2 Variable 3 Name Resource A Resource B Resource C Final Value Cost 3 10 20 Reduced 30 18 0 -7 Final Value Shadow Price Constraint R.H. Side 7.78 6 Objective Coefficient 10 30 40 20 20 30 40 What is the range of optimality for the objective coefficient for Variable 2? Allowable Increase 23 50 Allowable Increase 10 50 1E+30 Allowable Decrease 17 10 1E+30 Allowable Decrease 12.5 10 22
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Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the optimal objective function value for this problem?
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