dC/dt = dC/dx dx/dt = 60 dx/dt
= 60 [ 3(-1.637) t^2 etc
The cost of producing x units of a product is C = 60x + 1350. For one week management determined the number of units produced at the end of t hours during an eight-hour shift. The average values of x for the week are shown in the table.
t 0 1 2 3 4 5 6 7 8
x 0 16 60 130 205 271 336 384 392
(a) Use a graphing utility to fit a cubic model to the data. (Round your coefficients to three decimal places.)
x(t) = -1.637t^3+ 19.312t^2 -0.508t-0.616
(b) Use the Chain Rule to find dC/dt. (Round your coefficients to three decimal places.)
How do I complete part b?
1 answer
1 answer