Home
Class 12
MATHS
Let y=3x. (x+7)/(x+5)+4 be the total cos...

Let `y=3x. (x+7)/(x+5)+4` be the total cost for x units of output of a product. Show that the marginal cost falls continuously as the output increases. [Note that the marginal cost of a product is the rate of change in cost for unit change in the output.]

Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise MCQ|5 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Exercise 15 : Short Answer Type Questions|22 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Let y=3x.(x+a)/(x+b)+5 [a and b are positive constants and a gt b ] be the total cost for x unit of output of a commodity. Show that the marginal cost falls continuosly as the output increases.

If y is the total cost of x units of output and it is given that marginal cost equals average cost, show that the average cost function is constant.

A firm produces x units of output per week at a total cost of Rs. ((1)/(3)x^(3)-x^(2)+5x+3) .Find the output levels at which the marginal cost, the average variable cost attain their respective minima.

If the rate of change of y with respect to x is 4 and y is changing at the rate of 12 units/s find the rate of change of x per second.

A point is in motion along a hyperbola y=(10)/(x) so that its abscissa increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate, when the point passes through (5,2)

Prove that the perpendicular distance of the line 3x+4y+5 =0 from origin is 1 unit.

The marginal cost of a commodity is given by Rs (27-32x+9x^(2)) , where x is the output. Find the total cost and average cost function, given that the initial cost is RS 50.

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x) = 0.005x^(3)- 0.02 x^(2)+30x+5000 Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

A firm produces x tonnes of output at a total cost of Rs. R where R=(1)/(10)x^(3)-5x^(2)+10x+5 . At what level of output will the marginal cost and the average variable cost attain their respective minima ?

Suppose the marginal cost of a product is given by RS(10+24x-3x^(2)) , where x is the number of units produced. It the fixed cost is known to be RS 40, find the total cost function and the average cost function.