Jesaki Furniture Company has two plants that produce lumber used inmanufacturing tables and chairs. In 1 day of operation, plant A can produce thelumber required to manufacture 22 tables and 61 chairs, while plant B canproduce the lumber required to manufacture 28 tables and 51 chairs. In thisproduction run, the company needs enough lumber to manufacture at least 440tables and 830 chairs.It costs $875 per day to operate plant A and $850 per day to operate plant B.The company needs to produce sufficient lumber at a minimum cost.This can be set up as a linear programming problem where you minimize theoperational cost C. Introduce the decision variables:x = number of days to use plant Ay = number of days to use plant BFind the objective function C.C = 61x + 5lyC = 22x + 28yC= 875x + 850yC = 440x + 830yC = 850x + 875y