Question

In: Advanced Math

The Lifang Wu Corporation manufactures two models of industrial robots, the Alpha 1 and the Beta...

The Lifang Wu Corporation manufactures two models of industrial robots, the Alpha 1 and the Beta 2. The firm employs 5 technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (that is, all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor-hours to assemble each Alpha 1 robot and 25 labor-hours to assemble each Beta 2 model. Wu wants to see at least 10 Alpha 1s and at least 15 Beta 2s produced during the production period. Alpha 1s generate a $1,200 profit per unit, and Beta 2s yield $1,800 each.

a. Determine the most profitable number of each model of robot to produce during the coming month.

b. What is the total profit?

c. What if there was a reduction in 50 hours, what impact, in terms of profit, would this decision have?

Solutions

Expert Solution

linear program model using excel is shown below :

click "solve" option , it will shown below:


Related Solutions

Formulate the following problem. DO NOT SOLVE. The Lifang Wu Corporation manufactures two models of industrial...
Formulate the following problem. DO NOT SOLVE. The Lifang Wu Corporation manufactures two models of industrial robots, the Alpha 1 and the Beta 2. The firm employs 5 technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (that is, all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor-hours to assemble each Alpha 1 robot and 25 labor-hours to assemble each Beta 2 model. Wu...
MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and the Beta 5. The...
MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and the Beta 5. The firm employs six technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha 4s...
MSA Computer Corporation manufactures two mod- els of minicomputers, the Alpha 4 and the Beta 5....
MSA Computer Corporation manufactures two mod- els of minicomputers, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha...
Read the case given below carefully: MSA Computer Corporation manufactures two models of smartphones, the Alpha...
Read the case given below carefully: MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires “A” labor hours to assemble each Alpha 4 computer and “B” labor hours to assemble each Beta 5 model. MSA wants to...
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation,...
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 14,500 shares of stock outstanding, currently worth $20 per share. Beta Corporation uses leverage in its capital structure. The market value of Beta’s debt is $64,500, and its cost of debt is 8 percent. Each firm is expected to have earnings before interest of $74,500 in perpetuity. Neither firm pays taxes. Assume that every investor can borrow at 8 percent...
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation,...
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 9,200 shares of stock outstanding, currently worth $22 per share. Beta Corporation uses leverage in its capital structure. The market value of Beta’s debt is $50,000, and its cost of debt is 13 percent. Each firm is expected to have earnings before interest of $62,000 in perpetuity. Neither firm pays taxes. Assume that every investor can borrow at 13 percent...
Clinton Corporation has two decentralized divisions, Alpha and Beta. Alpha always has purchased certain units from...
Clinton Corporation has two decentralized divisions, Alpha and Beta. Alpha always has purchased certain units from Beta at $95 per unit. Beta plans to raise the price to $130 per unit, the price it receives from outside customers. As a result, Alpha is considering buying these units from outside suppliers for $95 per unit. Beta’s costs follow: Variable costs per unit $ 90 Annual fixed costs $ 170,000 Annual production of these units sold to Alpha 15,000 units Required: a....
Cane Company manufactures two products called Alpha and Beta that sell for $185 and $120, respectively....
Cane Company manufactures two products called Alpha and Beta that sell for $185 and $120, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 112,000 units of each product. Its average cost per unit for each product at this level of activity are given below: Alpha Beta Direct materials $ 30 $ 10 Direct labor 22 29 Variable manufacturing overhead 20 13 Traceable fixed manufacturing overhead...
Cane Company manufactures two products called Alpha and Beta that sell for $185 and $120, respectively....
Cane Company manufactures two products called Alpha and Beta that sell for $185 and $120, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 112,000 units of each product. Its average cost per unit for each product at this level of activity are given below: The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been...
Cane Company manufactures two products called Alpha and Beta that sell for $215 and $160, respectively....
Cane Company manufactures two products called Alpha and Beta that sell for $215 and $160, respectively. Each product uses only one type of raw material that costs $7 per pound. The company has the capacity to annually produce 125,000 units of each product. Its average cost per unit for each product at this level of activity are given below: Alpha Beta Direct materials $ 42 $ 21 Direct labor 35 28 Variable manufacturing overhead 23 21 Traceable fixed manufacturing overhead...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT