1.) (15 pts.) Miamiville Interiors is a small shop that producesa variety of items that are sold through home improvementdepartments at local hardware stores. Among the items MI producesare replacement cabinet facings for kitchen and bathroom cabinets.The production manager must decide how many of each of two types ofcabinet should be produced in the next production period. The netrevenues and demand for each type of cabinet are listed in thetable below. Also, in the table are production cost per unit andthe units available for each of three types of wood used in thecabinet construction. Revenue per unit Maple Pine Walnut DemandCabinet A $8 6 11 400 Cabinet B 13 4 9 600 Cost/unit $3.00$1.80 $3.75 Units Available 400 600 200 Formulate a linearprogram to determine how many of each of the types of cabinetshould be produced, using each type of wood. You seek to maximizeprofit (revenue – cost), while satisfying demand for the twocabinet styles.
