timize the shipping cost? ingested? the number shipped from Pittsburgh to Blairs- Company ville is represented by x, then the number shipped from rent loca- Erie to Blairsville is represented by 35 - x. deluxe 44. Construction A contractor builds two types of homes. irs of stan- The Carolina requires one lot, $160,000 capital, and 160 ake 20 pairs worker-days of labor, whereas the Savannah requires one lot, $240,000 capital, and 160 worker-days of labor. tandard per The contractor owns 300 lots and has $48,000,000 of deluxe available capital and 43,200 worker-days of labor. The pairs of profit on the Carolina is $40,000 and the profit on the er day at Savannah is $50,000. Find how many of each type of w many home should be built to maximize profit. Find the o fill the maximum profit. cost. 45. Management A bank has two types of branches. hydrates, A satellite branch employs 3 people, requires $400,000 tains 30% to construct and open, and generates an average daily d B costs revenue of $10,000. A full-service branch employs % fat, and 6 people, requires $560,000 to construct and open, and generates an average daily revenue of $18,000. The se two bank has up to $11.92 million available to open new pounds of branches and has decided to limit the new branches t cost? to a maximum of 25 and to hire at most 120 new o differ- employees. h pound (a) How many branches of each type should the bank 0.2 1b open to maximize the average daily revenue? Find requires the maximum average daily revenue. es. Sup- (b) At the optimal solution from part (a), analyze st 600 lb the bank's constraints (number of new branches, it is number of new employees, and budget) to deter- mine the "Amount Available," "Amount Used," and 1.00 on nds of "Amount Not Used (Slack)." (c) Obtaining additional quantities of which con- rofit? straint items would have the potential to increase the bank's average daily revenue? Explain. two (d) Obtaining more of which constraint item would and not increase average daily revenue? Explain. requires