Solve the problem.A television manufacturing company has two factories-I and II-that manufacture color and monochrome TV sets. Each day, factory I produces 50 color and 20 monochrome TV sets at a cost of $3,000. Each day, factory II produces 30 color and 24 monochrome TV sets at a cost of $2,700. An order is received for 2700 color and 1800 monochrome TV sets.(a) Let x and y represent the number of days factory I and factory II must operate, respectively, to fill the order. Give all constraints on x and y in the form of linear inequalities.(b) Write the total daily operating cost as a function of x and y.(c) Graph the feasible set for this problem. 
What will be an ideal response?
(a)
(b) | [cost] = 3000x + 2700y |

Mathematics
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