Aire-Co produces home dehumidifiers at two different plants in Atlanta and Phoenix. The per unit cost of production in Atlanta and Phoenix is $400 and $360, respectively. Each plant can produce a maximum of 300 units per month. Inventory holding costs are assessed at $30 per unit in beginning inventory each month. Aire-Co estimates the demand for its product to be 300, 400, and 500 units, respectively, over the next three months. Aire-Co wants to be able to meet this demand at minimum cost. a. Formulate an LP model for this problem.
b. Implement your model in a spreadsheet and solve it.
c. What is the optimal solution?
d. How does the solution change if each plant is required to produce at least 50 units per month?
e. How does the solution change if each plant is required to produce at least 100 units per month?

The table shows the demand and supply schedules for magazines. complete the following sentences. the equilibrium price of a magazine is $ 4 and the equilibrium quantity is 150 magazines a week. price (dollars per magazine) quantity demanded quantity supplied (magazines per week) 3.00 160 138 3.50 155 144 4.00 150 150 4.50 145 156 5.00 140 161 now a fall in the price of a newspaper decreases the quantity demanded by 11 magazines a week at each price. at the original equilibrium price, a occurs. to return to equilibrium, the price of a magazine a. surplus; rises b. shortage; rises c. shortage; falls d. surplus; falls as the market returns to equilibrium, the quantity demanded and the quantity supplied a. decreases; increases b. decreases; decreases c. increases; decreases d. increases; increases the new equilibrium price is $ nothing a magazine.

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year. a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs. b. calculate the eoq. c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?