Question: The cost (in dollars) of manufacturing one item is given by
C(x, y) = 30 + 3x + 5y
where x is the cost of 1 hour of labor and y is the cost of 1 pound of material.
(a) If the hourly cost of labor is $20, and the material costs $3 per pound, what is the cost of manufacturing one of these items?
(b) Find and interpret the partial derivative of C with respect to x.