A B C D E 1 Module 1 Spreadsheet Assignment 2 3 Linear Program Model: Crumb and Custard Bakery 4 FL G H 5 Products Cakes Danishes 6 Profit per item: 1 5 7 Resources: Usage Constraint Available Left over 8 Flour (lb) 5 5 < 25 9 Sugar (lb) 2 4 16 10 Demand (cakes) 1 0 5 11 12 Production: 13 Cakes= 14 Danishes= 15 Profit= The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 4 pounds of sugar are required to make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will be maximized. Formulate a linear programming model for this problem. Solve this model by using Excel and Solver.

A B C D E 1 Module 1 Spreadsheet Assignment 2 3 Linear Program Model: Crumb and Custard Bakery 4 FL G H 5 Products Cakes Danishes 6 Profit per item: 1 5 7 Resources: Usage Constraint Available Left over 8 Flour (lb) 5 5 < 25 9 Sugar (lb) 2 4 16 10 Demand (cakes) 1 0 5 11 12 Production: 13 Cakes= 14 Danishes= 15 Profit= The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 4 pounds of sugar are required to make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will be maximized. Formulate a linear programming model for this problem. Solve this model by using Excel and Solver.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.3: Pricing Models

Problem 2P

See similar textbooks

Decision Variables

Cakes (x₁)

Danishes (x₂)

Objective Function

Max Z = $1x₁ + 5x₂

Constraints

5x₁ + 5x₂≤ 25 (flour, lb.)

2x₁ + 4x₂≤ 16 (sugar, lb.)

x₁≤ 5 (demand, cakes)

x₁ , x₂≥ 0

A
B
C D
E
1 Module 1 Spreadsheet Assignment
2
3 Linear Program Model: Crumb and Custard Bakery
4
FL
G
H
5 Products
Cakes Danishes
6 Profit per item:
1
5
7 Resources:
Usage Constraint Available Left over
8
Flour (lb)
5
5
<
25
9
Sugar (lb)
2
4
16
10
Demand (cakes)
1
0
5
11
12 Production:
13
Cakes=
14
Danishes=
15
Profit=

The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main
ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available,
and the demand for coffee cakes is 5. Five pounds of flour and 4 pounds of sugar are required to
make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit
of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will
be maximized.
Formulate a linear programming model for this problem.
Solve this model by using Excel and Solver.

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