In: Statistics and Probability
A manufacturer is going to produce four products. The relative data for production are listed below.
setup cost unit profit resource used
product 1 400 100 10
product 2 400 60 5
product 3 500 120 12
product 4 600 160 16
--The total resource available is 1000.
--product 2 and 4 are mutually competitive items, hence will not be produced at the same time.
--Product 1 will be produced only if product 3 is produced.
Try to establish the mathematical model for this problem to determine the production quantity of each product with total profit maximized. Solve it with Excel.