An electronic firm to produces two model of sound card.A and B. These sound cards are subject to three quality control testing ,P Q R.The following table shows the time required to perform the quality control to each testing device.
Testing device ..................time required(minutes)
......................model A.....andmodal B
P.........................4.......and4鈥?br>
Q.........................2.......and5鈥?br>
R..........................3.....and5.
The available operation time per day devices P Q are 6 hours,5 hours,and 5.5 hours respectively.
The firm produces x units of model A sound card and y units of model B sound card per day.
a) write 5 inequalities which describe the constraints the operation time these testing device.
b) contruct and shade the region feasible solution of x and y.
c) The profit on a model A sound card is 20dollar and the profit on a model B sound card is 50 dollar.
Based on the given information.if the firm wishes to maximize the profit.
1.state the objective function.
2. based on the result obtained in (b).find the maximise total profit made by the firm per day.|||maximize p = 20x + 50y subject to:
4x+4y%26lt;=6
2x+5y%26lt;=5
3x+5y%26lt;=5.5
x%26gt;=0
y%26gt;=0
Optimal Solution: p = 50; x = 0, y = 1
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