Ice cream entrepreneurs Tess and Coy produce two types of dairy ice cream products: Chocolate Concussion and Vanilla Brain Freeze. Their chocolate ice cream requires 6 oz milk and 8 oz of peanuts per pint size container while the vanilla option requires 9 oz milk and 5 oz peanuts. They currently enjoy a surplus of all other ingredients required for their ice cream but only have 360 oz of milk and 400 oz of peanuts for this limited production run. The profit is P250 for each pint container of Chocolate Concussion and P350 for each pint container Vanilla Brain Freeze. Tess and Coy would like to know the number of containers each type should produce in order to maximize their profit. 1. Describe the decision variables a.C be the number of pint size containers of chocolate and V the number of pint size container of vanilla. b.C be the number of oz size container of chocolate and V the number of oz size container of vanilla. c.M be the number of oz containers of milk and P the number of oz containers of peanuts d. M be the number of pint size containers of milk and P the number of pint size containers of peanuts 2. Formulate the objective function. a. Maximize z=6M+8P b. Maximize z=9M+5P c. Maximize z=250C+350V d. Mazimize z=360C+400V 3. Identify the correct and complete constraints associated to the decision variables in item no. 2 a.6C+9V ≤360; 8C+5V≤400 b.6C+9V ≤360; 8C+5V≤400; C ≥0; V≥0 c.6M+9P ≤360; 8M+5P≤400; M ≥0; P≥0 d.6M+9P ≤360; 8M+5P≤400

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 73P

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Ice cream entrepreneurs Tess and Coy produce two types of dairy ice cream products: Chocolate Concussion and Vanilla Brain Freeze. Their chocolate ice cream requires 6 oz milk and 8 oz of peanuts per pint size container while the vanilla option requires 9 oz milk and 5 oz peanuts. They currently enjoy a surplus of all other ingredients required for their ice cream but only have 360 oz of milk and 400 oz of peanuts for this limited production run. The profit is P250 for each pint container of Chocolate Concussion and P350 for each pint container Vanilla Brain Freeze. Tess and Coy would like to know the number of containers each type should produce in order to maximize their profit.

1. Describe the decision variables

a.C be the number of pint size containers of chocolate and V the number of pint size container of vanilla.

b.C be the number of oz size container of chocolate and V the number of oz size container of vanilla.

c.M be the number of oz containers of milk and P the number of oz containers of peanuts

d. M be the number of pint size containers of milk and P the number of pint size containers of peanuts

Formulate the objective function.

a. Maximize z=6M+8P

b. Maximize z=9M+5P

c. Maximize z=250C+350V

d. Mazimize z=360C+400V

Identify the correct and complete constraints associated to the decision variables in item no. 2

a.6C+9V ≤360; 8C+5V≤400