The distribution system for the Herman Company consists of three plants, two ware- houses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Plant 1 2 Capacity Warehouse 1 4 7 450 2 8 5 600 3 5 6 380 Customer demand and shipping costs per unit (in $) from each warehouse to each cus- tomer are as follows: a. Develop a network representation of this problem. b. Formulate a linear programming model of the problem. c. Solve the linear program to determine the optimal shipping plan.

Throne technical university is looking for three people to work in its plant-biology laboratory. the hiring manager is finding that the most suitable job candidates live in other countries and are not willing to move to the city where the university is located. which situation is the university facing? a. lack of flexible workforce b. surpluses in labor talent c. an appearance of quota systems d. deficits in minimum wage demands

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.

Match the situations that will develop one's personality and those that won't peter is surrounded by friends who are always encouraging him jonathan always watches television when he wants to take a break from his books libby sets small targets for herself and strives to achieve them. the smiths indulge in an animated discussion on varied topics every evening after dinner. brook loves junk food and exercises once in a while. develops your personality develops doesn't develop your personality