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A shoe manufacturer is planning production of a new variety of shoes. For the one year the fixed cost for setting up the new production line is ₨1.25 lakh. Variable cost for producing each pair of shoes is ₨35. The sales department projects that 1500 pairs can be sold in the first year at the rate of ₨160 pairs. 1) Determine the cost function C(x) for the total cost of producing x pairs of shoes. 2) Determine the revenue function R(x) for the total revenue from the sales of x pairs of shoes. 3) Determine the profit function P(x) for the profit from the sale of x pairs of shoes. 4) If 1500 pairs are actually sold what profit or loss the company would incur?

A shoe manufacturer is planning production of a new variety of shoes. For the one year the fixed cost for setting up the new production line is ₨1.25 lakh. Variable cost for producing each pair of shoes is ₨35. The sales department projects that 1500 pairs can be sold in the first year at the rate of ₨160 pairs.
1) Determine the cost function C(x)
for the total cost of producing x pairs of shoes.
2) Determine the revenue function R(x)
for the total revenue from the sales of x pairs of shoes.
3) Determine the profit function P(x)
for the profit from the sale of x pairs of shoes.
4) If 1500 pairs are actually sold what profit or loss the company would incur?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60796 Points
3 months ago
Our expert is working on this Class VIII Maths answer. We will update the answer very soon.

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