The Ganders Company is preparing to introduce two new calculators: The Financial calculator, for the business market, and the Technician calculator for the engineering market. Each calculator has three components: a base, an electronic cartridge, and a faceplate or top, which can be manufactured or purchased. The same base is used for both calculators, but the cartridges and tops are different. Company forecasters indicate that 3000 Financial Manager calculators and 2000 Technician calculators will be needed. The company has 200 hours of regular manufacturing time and 50 hours of overtime. Overtime involves a premium at the additional cost of $9 per hour. At least 70% of the required bases should be manufactured. Cost per Unit Component Mfg. time (min) Mfg. (regular time) Purchase Base 1.0 $0.50 $0.60 Financial cartridge 3.0 $3.75 $4.00 Technician cartridge 2.5 $3.30 $3.90 Financial top 1.0 $0.60 $0.65 Technician top 1.5 $0.75 $0.78 a) Define the decision variables for this problem. b) Define the objective function for this problem. Simplify the coefficients to have at most one coefficient for each decision variable. c) Define the constraints for this problem. Simplify the coefficients to have at most one coefficient for each decision variable in each constraint.