Question

D Question 1 1 pts If the cost of a certain product is given by C(x) - 130.4x find the marginal average cost function and use it to compute the marginal average cost of production when 5 items are produced. Give answer rounded to two decimal places. (1 point) Question 2 1 pts Gluen y = [lx' +2x + 4)(x + 1)l' calculate the derivative of this function when x 2 The derivative is L? (1 point 1 pts Question 3 An electronic manufacturing company has determined that the monthly cost of producing units of its newest stereois Cbx) - 2500 + 10x, and the monthly demand 60,000 - equation for this cost function is 1500 where is the number of units and pis the price in dollars. Use the demand equation to find the monthly revenue equation. Then find the monthly prontequation and use it to compute the monthly marginal pront for a production level of 6250 units. The monthly marginal pront when 6250 units are produced and sold is dollars?'

Answer 1

Question-1

.

C(I) = 130+ 4.

the average cost function is given by

(2)9 = (2)

130+ 4. A (2) =

A (x) = 130 + 41

A (2) = 130 - +4

to find the marginal average cost take derivative

$A'\left(x\right)=\frac{d}{dx}\left(\frac{130}{x}+4\right)$

(2) - (52) + (4)

130 A' (2) = - 2 +0

130 A' (1) = -

take x=5 items

A’ (5) = 130

A' (5) = 130

.......................answer

A' (5) = -5.2

.

.

.

.

Question-2

.

V = ((:23 + 2x + 4) (2? + 1))

take derivative

V' = (((73 + 2x + 4) (72 +1)))

V' = 3 ((:* + 2.2 + 4) (22 +1)) ((13 + 2x + 4) (z? + 1))

d V' = 3 ((23 + 2x + 4) (22 +1) (23 + 2x + 4) (.x2 +1) + (x2 +1) (x3 + 2x + 4)

V' = 3 ((23 + 2x + 4) (22 +1))?((3.x2 +2+0) (2² +1) + (2x + 0) (23 + 2x + 4))

V' = 3 ((23 +22 + 4) (x² + 1)) ((3.2² +2) (z? + 1) +27 (23 + 2x + 4))

V = 3((73 + 2x + 4) (22+1)) (3.r+ + 5.+2+2x+ + 4.2? + 8r)

V' = 3((73 + 2x + 4) (22+1))?(5.+9.22 +81 + 2)

take x=2

V' = 3 (2)3 + 2 (2) + 4) ((2)2 + 1) (5 (2)4 +9 (2)2 +8 (2) + 2)

V' = 3(8 +4+4)2 (4 + 1)2 (80 + 36 + 16 + 2)

V' = 3 (16) (5) (134)

.......................answer

V = 2572800