3. Masagana Electronics, a firm that manufactures affordable microcomputers, is about to start production of two new types of microcomputers: VOICE and ECHO. Each type will require assembly time, inspection time and storage space. The amounts of the resources that can be allocated to the production of the microcomputers are limited. The manager of the firm would like to know the quantity computer to produce to maximize profit. The data are given below: VOICE 10 hours 1 hour Storage Space per unit 2 cubic feet 2 cubic feet P2,850 Profit per unit P2,800 a. Formulate the linear program appropriate for this problem. b. Graphically illustrate the linear program. Label your axes properly and shade the feasible region. c. How many units of each type of computer should the firm produce to maximize profit? ECHO 4 hours 2 hours Assembly Time per unit Inspection Time per unit Available 100 hours 22 hours 26 cubic feet

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3. Masagana Electronics, a firm that manufactures affordable microcomputers,
is about to start production of two new types of microcomputers: VOICE and
ECHO. Each type will require assembly time, inspection time and storage
space. The amounts of the resources that can be allocated to the production
of the microcomputers are limited. The manager of the firm would like to
know the quantity computer to produce to maximize profit. The data are
given below:
VOICE
ECHO
10 hours
4 hours
1 hour
2 hours
Storage Space per unit
2 cubic feet
P2,850
2 cubic feet
P2,800
Profit per unit
a. Formulate the linear program appropriate for this problem.
b. Graphically illustrate the linear program. Label your axes properly and
shade the feasible region.
c. How many units of each type of computer should the firm produce to
maximize profit?
Available
100 hours.
22 hours
26 cubic feet
Assembly Time per unit
Inspection Time per unit
Transcribed Image Text:3. Masagana Electronics, a firm that manufactures affordable microcomputers, is about to start production of two new types of microcomputers: VOICE and ECHO. Each type will require assembly time, inspection time and storage space. The amounts of the resources that can be allocated to the production of the microcomputers are limited. The manager of the firm would like to know the quantity computer to produce to maximize profit. The data are given below: VOICE ECHO 10 hours 4 hours 1 hour 2 hours Storage Space per unit 2 cubic feet P2,850 2 cubic feet P2,800 Profit per unit a. Formulate the linear program appropriate for this problem. b. Graphically illustrate the linear program. Label your axes properly and shade the feasible region. c. How many units of each type of computer should the firm produce to maximize profit? Available 100 hours. 22 hours 26 cubic feet Assembly Time per unit Inspection Time per unit
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