1. Develop a linear model to determine the amount of coats that should be produced and stored each month in order to maximize the overall profit for the last quarter of the year.

2. Due to some increase in the special coating of the Mount Everest, the cost of producing each Mount Everest coat in December will increase by $5. Will this change the optimal production plan? And the total profit?

Expedition Outfitters is a small company that manufactures specialty clothing for hiking, skiing, and mountain climbing. Company management has decided to begin production on two new parkas designed for use in extremely cold weather; the names selected for the two models are the Mount Everest Parka and the Rocky Mountain Parka. The company would like to schedule the production of each of the two models for the next three months. The manufacturing plant has 240 hours of production each month and can increase to 300 hours if a maximum of 60 hours of overtime are scheduled. Each Mount Everest Parka requires 60 minutes of production time, and each Rocky Mountain Parka requires 45 minutes. The raw material costs are $120 for each Mount Everest and $80 for each RMP, while the cost of labor is $15 per hour on regular time and $19 per hour on overtime. The retail prices through the firm's mail-order catalog are $250 for the MEP and $200 for the RMP. Expedition outfitters owns a storehouse where it can keep units in storage. There is enough space to store 100 coats and it costs $3 to store one coat for a month, regardless of the model. Management would like to keep at least 50 units of each model in stock at the end of the year. Assuming that Expedition Outfitters has estimated the following demands for the next three months: Type of coat Mount Everest Rocky Mountain October November 140 160 100 140 December 180 130 Expedition Outfitters is a small company that manufactures specialty clothing for hiking, skiing, and mountain climbing. Company management has decided to begin production on two new parkas designed for use in extremely cold weather; the names selected for the two models are the Mount Everest Parka and the Rocky Mountain Parka. The company would like to schedule the production of each of the two models for the next three months. The manufacturing plant has 240 hours of production each month and can increase to 300 hours if a maximum of 60 hours of overtime are scheduled. Each Mount Everest Parka requires 60 minutes of production time, and each Rocky Mountain Parka requires 45 minutes. The raw material costs are $120 for each Mount Everest and $80 for each RMP, while the cost of labor is $15 per hour on regular time and $19 per hour on overtime. The retail prices through the firm's mail-order catalog are $250 for the MEP and $200 for the RMP. Expedition outfitters owns a storehouse where it can keep units in storage. There is enough space to store 100 coats and it costs $3 to store one coat for a month, regardless of the model. Management would like to keep at least 50 units of each model in stock at the end of the year. Assuming that Expedition Outfitters has estimated the following demands for the next three months: Type of coat Mount Everest Rocky Mountain October November 140 160 100 140 December 180 130