$42$Chapter $3$OptimizationofLinearModelsMin Cost: $2$MH$+1\mathrm{.}5$MS$+3$BH$+2$BSst$\mathrm{.}50$MH$+100$MS$50,000$ Available Yarn$8$MH$+10$MS$9,600$Machine TimeMH$+$ BH$1,000$Hats NeededMS$+$ BS$2,000$Scarves NeededMH, MS$,$ BH$,$ BS$0$Non$-$Negativity constraintUse Solver on this LP problem to determine the minimum cost of completing thecontract.a$.$ What is the optimal solution?b$.$ What is the optimal value?c$.$ It will cost $$20$ to add an additional $5$ hours of machine time. Is this a goodbusiness decision? What would be the total cost of completing the contract ifthe hours are added?