A gold processor has two sources of gold ore, source A and source B. In order to keep this plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each..

Question

anonymous · Answer

day to maximize the amount of gold extracted subject to the above constraints?

A.	Let x represents the number of tons of ore from source A processed daily. Let y represent the number of tons of ore from source B processed daily. Write the objective function that models the amount of gold extracted daily.
Write a system of inequalities that models these constraints.
B.	Write a system of inequalities that models the constraints in this problem.