A radio manufacturer finds that he can sell x radios per week at Rs p each where `p=2(100-(x)/(4))`. His average cost of production of x radios per week is Rs `(120x+(x^2)/(2))`. Show that this profit is maximum when the production is 40 radios per week.

A manufacturer can sell x items per day at a price p rupees each, where p=125-(5)/(3)x . The cost of production for x items is 500 + 13x + 0.2x^(2) . Find how much he should produce have a maximum profit, assuming all items produces are sold.

A manufacturer produces computers data storage floppies at the rate of x units per week and his total cost of production and marketing is C (x) = (x^(3)/(3)- 10 x^(2)+ 15 x +30) . Find the slope of average cost .

A manufacturer can sell x items of a commodity at price Rs (330-x) each and the cost of producing x items is Rs (x^(2)+10x+12) . Find MAR.

A manufacturer's total cost of production ( in Rs.) of x things is f(x)=1000+10^(-10) x^(4) . What is the marginal cost when 1200 things are produced ?

If the marginal cost function a product is given by MC=10-4x+3x^(2) and fixed cost is Rs 500, then the cost function is

A product can be manufactured at a total cost C(x)=x^2/(100) x+100x+40 , where x is the number of units produced. The price at which each unit can be sold is given by P=(200-x/(400)) . Determine the production level x at which the profit is maximum. What is the price per unit and total profit at the level of production?

A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. The cost price of x items is Rs. (x/5+\ 500)dot\ Find the number of items he should sell to earn maximum profit.

A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. The cost price of x items is Rs. (x/5+\ 500)dot\ Find the number of items he should sell to earn maximum profit.

Rohan spends Rs. x daily and saves Rs. y per week. What is his income after 3 weeks?

The demand function of an output is x=106-2p , where x is the output and p is the price per unit and average cost per unit is 5 + (x)/(50) . Determine the number of units for maximum profit