The demand function if $p = 60 + 2D - 10D^2$, the rate of charge in price with respect to demand is ______

Given the total cost function, $TC = a+bQ+cQ^2+dQ^3$, Find the Marginal cost.

 The total cost function is $TC = 12x + 2x^2$. Find the $MC$.

$y = 48x - 2x^2$
where, $y=$ Total revenue $ $ $.
$x = $ Output
At what output is total revenue a maximum?

The cost, in dollars, of producing $x$ gallons of detergent is given by
$C(x)=350+20x0.08x^2 + 0.0004x^3$
What is a formula for the marginal cost function $C'(x)$

If we differentiate the cost function: $y = \dfrac{x^4}4 + 2x^2$, we get

A ABC firms start producing pens and finds that the production cost of each pen is Rs $10$. and the fixed expenditures of production is Rs 4500. If each pen is sold for Rs 25 , determine cost function.

A company sells its product 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 revenue function.

Find the elasticity of supply when price $5$ units. Supply function is given by $q = 25 - 4p +p^2$

Find the elasticity of supply for supply function $x = 2p^2+5$, when $p=3$.

A village road is to be constructed by a team of $250$ workers. After $12$ days it was found that only $2/7^{th}$ part of the work was complete. To complete the rest in another $25$ days, how many more workers should be employed?

A railway half ticket costs half the full fare but reservation charge is same. One reserved ticket from Ranchi to Howrah cost $Rs.1720$ and one full and one half ticket (both reserved) costs $Rs.2610$. Thus, the reservation charge is