1) Cost: Suppose you need 50 pounds of two commodities costing $1.25 and $1.60 per pound, respectively.
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. What does each variable represent in the inverse function?
c) Use the context of the problem to determine the domain of the inverse function.
d) Determine the number of pounds of the less expensive commodity purchased when the total cost is $73.

Question

1) Cost: Suppose you need 50 pounds of two commodities costing $1.25 and $1.60 per pound, respectively.
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. What does each variable represent in the inverse function?
c) Use the context of the problem to determine the domain of the inverse function.
d) Determine the number of pounds of the less expensive commodity purchased when the total cost is $73.

anonymous · Answer

|dw:1382023904931:dw|