A firm that assembles refrigerators and stoves is about to start production of new models of each. Each model will require assembly time, inspection time and storage space. The amounts of each of these resources that can be devoted to the production of the items is limited. The manager of the firm would like to determine the quantity of each item to produce in order to maximize the profit generated by sales. He has the following data at his disposal. refrigerators stoves Profit per unit $60 $50 Assembly time per unit 4 hours 10 hours Inspection time per unit 2 hours 1 hour Storage space per unit 3 cubic feet 3 cubic feet Resource Amount of time available Assembly time 100 hours Inspection time 22 hours Storage space 39 cubic feet identify the feasible solution space at which point will profit be maximized ?
A firm that assembles refrigerators and stoves is about to start production of new models of each. Each model will require assembly time, inspection time and storage space. The amounts of each of these resources that can be devoted to the production of the items is limited. The manager of the firm would like to determine the quantity of each item to produce in order to maximize the profit generated by sales. He has the following data at his disposal.
|
|
refrigerators |
stoves |
|
Profit per unit |
$60 |
$50 |
|
Assembly time per unit |
4 hours |
10 hours |
|
Inspection time per unit |
2 hours |
1 hour |
|
Storage space per unit |
3 cubic feet |
3 cubic feet |
|
Resource |
Amount of time available |
|
Assembly time |
100 hours |
|
Inspection time |
22 hours |
|
Storage space |
39 cubic feet |
identify the feasible solution space
at which point will profit be maximized ?
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