A company makes two types of sofas, regular and long, at two locations, one in Msamvu and one in Kihonda. The plant in Msamvu has a daily operating budget of Tsh 45,000,000 and can produce at most 300 sofas daily in any combination. It costs Tsh 150,000 to make a regular sofa and Tsh 200,000 to make a long sofa at the Msamvu plant. The Kihonda plant has a daily operating budget of Ksh 36,000,000, can produce at most 250 sofas daily in any combination and makes a regular sofa for Ksh 135,000 and a long sofa for Ksh 180,000. 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 Ksh 50,000 on each regular sofa and Ksh 70,000 on each long sofa, how many of each type should be made at each plant in order to maximize profit? Formulate this problem as an LP mode
A company makes two types of sofas, regular and long, at two locations, one in Msamvu and one in Kihonda. The plant in Msamvu has a daily operating budget of Tsh 45,000,000 and can produce at most 300 sofas daily in any combination. It costs Tsh 150,000 to make a regular sofa and Tsh 200,000 to make a long sofa at the Msamvu plant. The Kihonda plant has a daily operating budget of Ksh 36,000,000, can produce at most 250 sofas daily in any combination and makes a regular sofa for Ksh 135,000 and a long sofa for Ksh 180,000. 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 Ksh 50,000 on each regular sofa and Ksh 70,000 on each long sofa, how many of each type should be made at each plant in order to maximize profit? Formulate this problem as an LP mode
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