Reference no: EM1358806
Q1 Linear Programming -- Product Output
A company produces 3 different products, A, B, and C. All products require time in up to 5 different processing departments. The amount of time each product requires with each department is listed in the table below:
Product A Product B Product C Available
Melting 6 hrs 2 hr 0 hrs 1200 hrs
Cooling 3 hrs 2 hrs 1 hr 1240 hrs
Shaping 3 hrs 2 hrs 1 hr 2000 hrs
Sanding 2 hrs 3 hr 3 hrs 1875 hrs
Painting 1 hr 2 hrs 2 hrs 1550 hrs
Suppose product A sells for $200/unit, product B sells for $225/unit, and product C sells for $125/unit. And suppose that all products have a guaranteed buyer (i.e., no matter how many are produced it will be sold for the asking price). Management has asked for your recommendations about how many of each product type to produce that maximize revenue. So question…
Question:
a) How much of each product do you recommend be produced that you believe maximizes revenue?
b) How much revenue would be made if they followed your recommendation?