math
posted by ct on .
a company manufactures a toy at a cost of Rm2 per unit and sells them for Rm x per unit.if the number sold is 800/x^2 per month,find the value of x for which the company could expect to maximise its monthly profit.

profit = revenue  cost
revenue = price * quantity = 800/x^2 * x = 800/x
cost = 2 * quantity = 2 * 800/x^2
p = 800/x  1600/x^2
dp/dx = 800/x^2 + 3200/x^3 = 800/x^3(4x)
So, maximum profit when charging Rm4/unit.
sales: 50
profit: 100