Delisshious Toasty Chocolates Company Primarily Produces Two Types of Chocolate

Essay

Delisshious Toasty Chocolates Company primarily produces two types of chocolate bars, Almond Tasty and Cashew Crunchy. The personnel costs incurred per day to produce the two types of chocolate bars are $100 and $120, respectively. The production cost per chocolate bar is $2 for Almond Tasty and $2.5 for Cashew Crunchy. The daily production capacity of Almond Tasty and Cashew Crunchy chocolate bars are 1100 and 1250, respectively. Only one type of bar can be produced on a given day since only one machine is available.
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Let C₁ = the number of Almond Tasty chocolate bars produced
C₂ = the number of Cashew Crunchy chocolate bars are produced
Y₁ = 1 if the machine produces Almond Tasty; 0, otherwise
Y₂ = 1 if the machine produces Cashew Crunchy; 0, otherwise
a. Write a constraint that sets the next day's maximum production of Almond Tasty to 1100.
b. Write a constraint that sets the next day's maximum production of Cashew Crunchy to 1250.
c. Write a constraint that requires that production be set up for exactly one of the two chocolates bars.
d. Write the cost function to be minimized.