You need 50 pounds of two commodities costing $1.25 and$1.60 per pound.

a) Verify that the total cost is y=1.25x + 1.60(50 - x), where x is the number of pounds of the less expensive commodity.
b) Find the inverse function of the cost function.

1 answer

a) The y(x) expression is obviously correct. The first term is the amount spent on the least expensive commodity and the second is the amount spend on the more expensive commodity.

b) Solve for x in terms of y.