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?