हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा १२

For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function - Business Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function

योग
Advertisements

उत्तर

MR = 6 – 3x2 – x3

Revenue function R = `int "MR"  "d"x`

R = `int (6  –  3x^2  –  x^3) "d"x`

R = `(6x - (3x^3)/3 - x^4/4) + "k"`

When x = 0

R = 0

⇒ k = 0

∴ R = `6 - x^3 -x^4/4`

Demand function P = `"R"/x`

= `((6x - x^3 - x^4/4))/x`

P = `6 - x^2 - x^3/4`

shaalaa.com
Application of Integration in Economics and Commerce
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Integral Calculus – 2 - Miscellaneous problems [पृष्ठ ७७]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 3 Integral Calculus – 2
Miscellaneous problems | Q 4 | पृष्ठ ७७

संबंधित प्रश्न

Given the marginal revenue function `4/(2x + 3)^2 - 1` show that the average revenue function is P = `4/(6x + 9) - 1`


If the marginal cost (MC) of production of the company is directly proportional to the number of units (x) produced, then find the total cost function, when the fixed cost is ₹ 5,000 and the cost of producing 50 units is ₹ 5,625


Under perfect competition for a commodity the demand and supply laws are Pd = `8/(x + 1) - 2` and Ps = `(x + 3)/2` respectively. Find the consumer’s and producer’s surplus


Choose the correct alternative:

If the marginal revenue function of a firm is MR = `"e"^((-x)/10)`, then revenue is


Choose the correct alternative:

The marginal revenue and marginal cost functions of a company are MR = 30 – 6x and MC = – 24 + 3x where x is the product, then the profit function is


Choose the correct alternative:

For the demand function p(x), the elasticity of demand with respect to price is unity then


Choose the correct alternative:

The producer’s surplus when the supply function for a commodity is P = 3 + x and x0 = 3 is 


Choose the correct alternative:

If the marginal revenue of a firm is constant, then the demand function is


A company has determined that marginal cost function for x product of a particular commodity is given by MC = `125 + 10x - x^2/9`. Where C is the cost of producing x units of the commodity. If the fixed cost is ₹ 250 what is the cost of producing 15 units


The marginal revenue function for a firm given by MR = `2/(x + 3) - (2x)/(x + 3)^2 + 5`. Show that the demand function is P = `(2x)/(x + 3)^2 + 5`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×