DuocUC
2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function:
(x+185) C(x)=81300-6x+ 20000
a) It is known that C(90) 5.344. Interpret this result.
(2 points)
b) Calculate C'(x)
(2 points)
3 x²+111x-0.87
20000 2000
c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing.
(3 points)
d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost?
(