A manufacturer of brand A jeans has daily production costs of Upper C equals 0.3 x squared minus 114 x plus 11 comma 405, where

Question

3 years ago

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A manufacturer of brand A jeans has daily production costs of Upper C equals 0.3 x squared minus 114 x plus 11 comma 405, 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?

Mathematics

1 answer:

kobusy [5.1K] · Answer 1 · 2022-05-29T05:23:15+03:00

Answer:

190 Jeans

Step-by-step explanation:

The daily production cost of the jeans manufacturer is given as:

$C=0.3x^2-114x+11405$

To determine the number of Jeans,x that should be produced daily to minimize cost, C. We take the derivative of C and solve for its critical points.

$C'=0.6x-114\\$When C'=0\\0.6x-114=0\\0.6x=114\\x=190$

Therefore, to minimize daily cost, 190 Jeans is the number of jeans that should be produced daily.

A manufacturer of brand A jeans has daily production costs of Upper C equals 0.3 x squared minus 114 x plus 11 comma 405​, where

A manufacturer of brand A jeans has daily production costs of Upper C equals 0.3 x squared minus 114 x plus 11 comma 405, where