The furniture company assembles regular luxury kitchen cabinets using pre cut lumber. Regular cabinets are painted white and deluxe cabinets are varnished. One department does painting and varnishing. The daily capacity of the assembly department was 200 regular cabinet and 150 deluxe cabibet. Restoring a deluxe takes twice as long as painting a regular one. If the painting department is dedicated to luxury units only it can complete 180 units per day. Yhe company estimates the revenue per unit of the regular and deluxe cabinet is $100 and $140.

a) formulate the problems as linear program and find optimum per day

b) competition indicates that the