ABC electronics produces two models of Karaoke machine. Model A needs 6 labor hours per unit. Model B needs 7.5 labor hours per unit. The labor capacity is 1200 hours. The maximum number of Model B units that can be sold is 120. How many units of each model should the company manufacture in order to maximize the profit if model A contributes a profit of P200 and model B contributes a profit of P300. Given: Labor Hours Market Constraint Decision Variable: Let Model A 6 Model B 7.5 1 Total 1200 hrs 120 X = no. of units of Model A to be manufactured to maximize profit. Y = no. of units of Model B to be manufactured to maximize profit.

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kindly solve the problem below on linear programming model using graphical method, and show all the solutions please. thank you

 

1. ABC electronics produces two models of Karaoke machine. Model A needs 6 labor hours
per unit. Model B needs 7.5 labor hours per unit. The labor capacity is 1200 hours. The
maximum number of Model B units that can be sold is 120. How many units of each model
should the company manufacture in order to maximize the profit if model A contributes a profit
of P200 and model B contributes a profit of P300.
Given:
Labor Hours
Market Constraint
Decision Variable:
Let
Model A
6
Model B
7.5
1
Total
1200 hrs
120
X = no. of units of Model A to be manufactured to maximize profit.
Y = no. of units of Model B to be manufactured to maximize profit.
Transcribed Image Text:1. ABC electronics produces two models of Karaoke machine. Model A needs 6 labor hours per unit. Model B needs 7.5 labor hours per unit. The labor capacity is 1200 hours. The maximum number of Model B units that can be sold is 120. How many units of each model should the company manufacture in order to maximize the profit if model A contributes a profit of P200 and model B contributes a profit of P300. Given: Labor Hours Market Constraint Decision Variable: Let Model A 6 Model B 7.5 1 Total 1200 hrs 120 X = no. of units of Model A to be manufactured to maximize profit. Y = no. of units of Model B to be manufactured to maximize profit.
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