Benoit Company produces three products$$A$,$ B$,$ and C$.$ Data concerning the three products follow $($per unit$)$:

The company estimates that it can sell $750$ units of each product per month. The same raw material is used in each product. The material costs $$3$ per pound with a maximum of $5,400$ pounds available each month.

Required:

$1.$ Calculate the contribution margin per pound of the constraining resource for each product. $($Hint: Use the DM cost in the table and the cost of the material per pound to figure out how many pounds are used by each product.$)$

$2.$ Which orders would you advise the company to accept first, those for A$,$ B$,$ or C$?$ Which orders second? Third?

$3.$ What is the maximum contribution margin that the company can earn per month if it makes optimal use of its $5,400$ pounds of materials? $($See hint below.$)$

Solve Required $3$ only as I have already completed the other $2$ parts.