A company makes two types of sofas, regular and long, at two locations, one in Hickory and one in Lenoir. The plant in Hickory has a daily operating budget of $45,000 and can produce at most 300 sofas daily in any combination. It costs $150 to make a regular sofa and $200 to make a long sofa at the Hickory plant. The Lenoir plant has a daily operating budget of $36,000, can produce at most 250 sofas daily in any combination and makes a regular sofa for $135 and a long sofa for $180. The company wants to limit production to a maximum of 250 regular sofas and 350 long sofas each day. If the company makes a profit of $50 on each regular sofa and $70 on each long sofa, how many of each tpe should be made at each plant in order to maximize profit? What is the maximum profit? Do Not SOLVE ... Fill in the Blanks Let R-Number of Regular Sofas to Produce in Hickory Let RL - Number of Regular Sofas to Produce in Lenoir Let L Number of Long Sofas to Produce in Hickory Let LL - Number of Long Sofas to Produce in Lenoir Maximize Do Not SOLVE ... Fill in the Blanks Let R-Number of Regular Sofus to Produce in Hickory Let R-Number of Regular Sofas to Produce in Lenoir Let Lu-Number of Long Sofas to Produce in Hickory Let LL-Number of Long Sofas to Produce in Lenoit Maximize Profit-550 R + $50 R + $70L. +370 LL Subject to: 5 A Ruts 4/45 545,000 Budget at Hickory Plant Ry+44 A Limit on Production At Hickory Plant RL+Ls A Limit on Production at Lenoir Plant S A Rets A LES 536,000 Budget at Lenoir Det Subject to: S A RH+S A/L $45,000 Budget at Hickory Plant Rg+Lys A Limit on Production At Hickory Plant RL+LLS A Limit on Production at Lenoir Plant S A Ry+s A L = $36,000 Budget at Lenoir Spell check Plant IR +1R 3 A/ Limit on Number of Regular Sofas to Produce A Ly+ A LL S 350 Limit on Number of Long Sofas to Produce