A manufacturer of brand A jeans has daily production costs of Upper C equals 0.3 x squared minus 120 x plus 12 comma 585, where C is the total cost (in dollars) and x is the number of jeans produced. How many jeans should be produced each day in order to minimize costs? What is the minimum daily cost?

a. 200 jeans should be produced each day in order to minimize costs.

b. The minimum daily cost is $108,585

Explanation:

a. How many jeans should be produced each day in order to minimize costs?

Given C = 0.3x^2 - 120x + 120,585 (1)

Cost is minimized when MC = C' = 0

To obtain MC, equation (1) is differentiate with respect to x as follows:

dC/dx = MC = C' = 0.6x - 120 = 0 (2)

From equation (2), we can now solve for x follows:

0.6x - 120 = 0

0.6x = 120

x = 120 ÷ 0.6

x = 200

Therefore, 200 jeans should be produced each day in order to minimize costs.

b. What is the minimum daily cost?

Substitute 200 for x in equation (1) to have:

C = 0.3(200^2) - 120(200) + 120,585

   = 12,000 - 24,000 + 120,585

C = $108,585

Therefore, the minimum daily cost is $108,585.

a. 200 jeans should be produced each day in order to minimize costs.

b. The minimum daily cost is $108,585

answer; i believe both technician (a) and (b) are correct; /// good luck

the first successful, urban blues recording, selling more than 75,000 copies, was made in year 1920.

mamie smith recorded the first commercially successful example of the urban blues,   with the recording of “crazy blues”."crazy blues" was recorded on august 10, 1920, in new york city. within a month of the release of “crazy blues” it had sold 75,000 copies.