You need a total of 50 pounds of two commodities costing $1.25 and $2.75 per pound.
(a) Verify that the total cost is y = 1.25x + 2.75(50 - x), where x is the number of pounds of the less expensive commodity.
(b) Find the inverse function of the cost function. What does each variable represent in the inverse function?
(c) What is the domain of the inverse function? Validate or explain your answer using the context of the problem.
(d) Determine the number of pounds of the less expensive commodity purchased when the total cost is $73.