Answer to Question #200463 in Economics for BedasaLegese

Question

A company is involved in the production of two items (X and Y). The resources need to produce X and Y 

are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The 

table below gives the number of minutes required for each item:

Machine time Craftsman time

Item X 13 20

Item Y 19 29

The company has 40 hours of machine time available in the next working week but only 35 hours of 

craftsman time. Machine time is priced at £10 per hour worked and craftsman time is costed at £2 per 

hour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item 

produced (all production is sold) is £20 for X and £30 for Y. The company has a specific contract to 

produce 10 items of X per week for a particular customer.

Formulate the problem of deciding how much to produce per week as a linear program.

Answer 1

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