The marginal cost function for producing x units is 3x2 – 200x +1500 rupees. Find the increase in cost if production is increasedfrom 90 to 100 units.

The cost (in dollars) of producing x units of a certain commodity is C(x) = 7000 + 10x + 0.05x2.(a) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)(i)    x = 102$ per unit(ii)    x = 101$ per unit(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)

The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 − 0.01x + 0.000009x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards.

When a firm produces 50 000 units of output, its total cost equals $6.5 million. When it increases its production to 70 000 units of output, its total cost increases to $9.4 million. Within this range, the marginal cost of an additional unit of output is ________.

The average cost for a printing shop at UGBS is given as: 𝐶 = −1000𝑞 + 6.75𝑞 2 − 10340 Where q is the quantity output. Find the marginal cost when quantity is 2000

A consumer has an income of $10,000 to spend on two goods, X and Y, where the price ofgood X is $500 per unit, and the price of good Y is $1 per unit. The marginal rate ofsubstitution is given by the formula Y/X. How many units of good Y does this consumeroptimally consume?