M L Aggarwal Solutions for Chapter: Application of Calculus in Commerce and Economics, Exercise 4: EXERCISE

The marginal cost of manufacturing x units of a product is given by $MC = x^2 — 150x + 750$. If the fixed cost is $1250$, find the total cost and the average cost. 

The marginal cost function of producing $x$ units of a product is given by $MC = 3x^2 -10x + 3.$ If the total cost of producing $1$ unit of the product is $6$, find the total cost function and the average cost. 

Determine the cost of increasing output from $100$ to $200$ units if the marginal cost $MC$ (in Rs. per unit) is given by
$MC=0.003x^2-0.01x+2.5$

The marginal cost of product is given by $MC=\frac{500}{\sqrt{2x+25 }}$  and the fixed cost is Rs.$2500$  Find the total cost function. Also find the average cost of producing $72$ units.

The marginal cost function of producing x units of a product is given  by $MC=3e^{0.3x}+5$ . If the fixed cost is Rs.$6050,$ find the total cost  function. Also find the cost of production of $10$ units.

The marginal revenue of selling x units of a commodity is given by $MR = 20 e^{x/10 }\left(1+\frac{x}{10}\right)$. If the revenue obtained 
on selling $10$ units of the commodity is Rs$200e$, find the revenue function.