The Cost of Manufacturing X Units Is C Dollars, Where $\sqrt { x }$

question 3

Short Answer

The cost of manufacturing x units is C dollars, where C = 4x + 6 $\sqrt { x }$ + 5. Weekly production at t weeks from the present is estimated to be x = 2800 + 100t units when t = 8. Find the time rate of change of cost, $\frac { \mathrm { dC } } { \mathrm { dt } }$ . Enter just an integer.

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Definitions:

Chyme

Mix of food and gastric fluid.

Large Intestine

Organ that receives digestive waste from the small intestine and concentrates it as feces.

Mouth

The opening in an animal's body that is the beginning of the digestive tract, through which food is ingested.

Brush Border

A microvillar structure that lines the intestine's absorptive cells, enhancing the surface area for digestion and absorption of nutrients.