The KtoyRus Company plans to produce 12,000 toy cars for a large retail store. KtoyRus has four different machines that can produce this kind of toy car. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.

Machine	Fixed Cost to Set Up Production Run	Variable Cost Per Toy Car	Capacity
1	400	0.55	5000
2	250	1.25	6000
3	450	0.5	3500
4	200	1.1	6700

a. This problem requires two different kinds of decision variables. Clearly define each kind. b. The company wants to minimize total cost. Give the objective function. c. Give the constraints for the problem. d. Write a constraint to ensure that if one of machine 3 and machine 4 is used, the other machine cannot be used (mutually exclusive).