a company manufacture four variants of the same product and in the final part of the manufacturing process there are assembly, polishing and packing operations. for each variant the time required for these operations is show below (in minutes) as is the profit per unit sold.
Given the current state of the labour force the company estimate that, each year, they have 100000 minutes of assembly time, 50000 minutes of polishing time and 60000 minutes of packing time available. How many of each variant should the company make per year and what i the associated profit?
Suppose now that the the company is free to decide how much time to devote to each of the three operations(assembly,polishing and packing) within the total allowable time of 210000 (=100000+50000+60000) minutes. How many of each variant should the company make per year and what is the associated profit?