A gourmet cook bakes three types of cakes ( strawberry , chocolate, and vanilla ) to supplement
Question:
A gourmet cook bakes three types of cakes strawberry chocolate, and vanilla to supplement her income. Each strawberry cake can be sold for $ each chocolate cake can be sold for $ and each vanilla cake can be sold for $ Each strawberry cake minutes of baking time and uses eggs. Each chocolate cake requires minutes of baking time and uses eggs. Each vanilla cake requires minutes of baking time and uses eggs. The baker has hours of baking time and eggs. What should be the production plan for the gourmet cook to maximize her profit?
LP Formulation
x # of strawberry cakes to produce
x # of chocolate cakes to produce
x # of vanilla cakes to produce
max xxx
subject to
xxx
xxx
xx
a According to this solution, what should be the optimal production plan for the gourmet cook? What will be the optimal revenue according to this production plan?
b How much of the baking time will be used?
c How many eggs will be used?
d Out of the baking time used in b how much of the baking time used on strawberry cakes? How about chocolate cakes and vanilla cakes?
e If the gourmet cook has hours of baking time and eggs, is she able to increase the total revenue?
Gourmet Cake
Strawberry Chocolate Vanilla
Unit Revenue $ $ $
Available
Time
Eggs
Strawberry Chocolate Vanila Total Revenue
Units Produced max
Cost Accounting A Managerial Emphasis
ISBN: 978-0132109178
14th Edition
Authors: Charles T. Horngren, Srikant M.Dater, George Foster, Madhav