Determination of Cost Function

The marginal cost function $MC=2x+5e^x+3$, find average cost function, when $x=0,C=100$.

The monthly marginal cost for a product is $MC=x+30$. If fixed cost is $50$ rupees, find the total cost function for the month.

The marginal cost function $MC=2+5e^x$, find average cost function, when $x=0,C=100$.

The marginal cost function $MC=2+5e^x$, find $C\text{ if }C\left(0\right)=100$.

The marginal cost function of manufacturing $x$ shoes is $6+10x-6x^2$. The cost producing a pair of shoes is $12$ rupees. Find the total and average cost function.

A company produces a commodity with ₹24000 fixed cost. The variable cost is estimated to be 25% of the total revenue recovered on selling the product at a rate of ₹8 per unit. Find the break even point.

For a new product, a manufacturer spends $₹100000$ on the infrastructure and the variable cost is estimated as $₹150$ per unit of the product. The sale price per unit was fixed at $₹200$.

Find break even point of the function.

A manufacturer can sell $x$ items of commodity at a price of $\mathrm{Rs}.(330-\mathrm{x})$ each. Find the revenue function along with the cost of producing $x$ items is $\mathrm{Rs}.({\mathrm{x}}^2+10\mathrm{x}+12)$, determine the profit function.

A company sells its products at the rate of $Rs 6$ per unit. The variable costs are estimated to run $25\%$ of the total revenue received. If the fixed costs for the product are $Rs 4500$, find the total cost function.

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. 

The marginal cost (MC) of a product is given to be a constant multiple of the number of units $\left(x\right)$produced .Find the total cost function, if fixed cost is $Rs.5000$ and the cost of producing $50$ units is $Rs.5625$.

The monthly marginal cost for a product is $MC=x+30$. If fixed cost is $50$ rupees, find the total cost function for the month.

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.