Answer to Question #308139 in Operations Research for Mukti

Question

suppose tasty treat wants to introduce two new items in its menu: milkshake and smoothie. The cost to make a single serving of milkshake and smoothie is $60 and $50 respectively. They wants to minimize their cost. Everyday, at least 25 watts of electricity should be used in the kitchen. To make one serving of milkshake and smoothie, 1 watt and 2 watts of electricity is required, respectively. 3 minutes and 2 minutes are required each day to produce a serving of the items using at least 48 minutes by the workers.

Answer 1

Minimize $C=60m+50s$

Subject to

$\\m+2s≥25 \\3m+2s≥48 \\m,s≥0$

From the graph

therefore to minimize cost tasty treat should produce zero milkshakes and 12 smoothies.