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Question
A salesperson wants to know when the sale of their product reaches a profit level of Rs. 2000. The revenue equation is R= 100x−0.5x2, and the cost to produce x product is determined with C=−8000+30x. How many products have to be produced and sold to net a profit of Rs. 2000?
A salesperson wants to know when the sale of their product reaches a profit level of Rs. 2000. The revenue equation is R= 100x−0.5x2, and the cost to produce x product is determined with C=−8000+30x. How many products have to be produced and sold to net a profit of Rs. 2000?
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Solution
The correct option is B 200
The amount of the profit is determined by subtracting the cost from the revenue, P=R−C.
2000= 100x−0.5x2−(−8000+30x)
2000= 100x−0.5x2+8000−30x)
0.5x2−70x−6000
On factoring, we get
(x−200)(x+60)=0
x=200 or −60
When x=200, the profit is 2000.
The amount of the profit is determined by subtracting the cost from the revenue, P=R−C.
2000= 100x−0.5x2−(−8000+30x)
2000= 100x−0.5x2+8000−30x)
0.5x2−70x−6000
On factoring, we get
(x−200)(x+60)=0
x=200 or −60
When x=200, the profit is 2000.
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