The average cost of producing a product is RM45 and the profit function is P(x) = x - 0.5x^2 where x is the level of output. Find the level of output when revenue is maximized.
A. 45
B. 56
C. 52
D. 46
Question:
The revenue and cost functions of a firm in ringgit are as follows.
R(x) = 50x - 0.1x^2
C(x) = 10x + 1000
Find the break-even level of production.
A. 40 OR 999.9 units
B. 26.8 OR 373.2 units
C. 49.9 OR 100 units
D. 49.99 OR 1010 units
Question:
Given demand function is p + 3x = 600 [In ringgit per unit] where p is price per unit and x is quantity demanded and the profit function is P(x) = 450x - 3.5x^2 - 5,000 [In ringgit]. Find the value of x that will make the average cost minimum.
A. 90
B. 100
C. 89.35
D. 95
Question:
A firm produces x units of a product per month and the total cost per month in ringgit is given by C(x) = 180 + 0.04x^2. Find the average cost when 25 units are produced.
A. RM8.50
B. RM8.20
C. RM7.80
D. RM9.20
Question:
A product is sold at RM10 a unit. The total cost function, C(x) in ringgit for the product when x units are produced and sold is given as C(x) = 40 + 2x + 0.001x^2 where x is the level of output. Find the level of output which will maximize profit. What is the value of maximized profit?
A. RM22,340
B. RM11,960
C. RM22,960
D. RM15,960