A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer.     Shipping Costs ($/unit) Factory/Capacity Customer 1 Customer 2 Customer 3 A/180 units   13     11     11   B/160 units   7     6     10   C/110 units   5     10     8     Requirement— 225 units Requirement— 75 units Requirement— 150 units     Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.)       What is the total cost of meeting customer requirements each day?

2. By using the data below, use a transportation method to : COST in $ Assembly Plant Supply 210 Factory 2 A 8 9 400 10 6 12 8 190 Demand 120 620 60 A. Formulate this linear programming model B. If you are using VAM and NorthWest corner method, which solution is the best and how much is the best total cost ?

14. Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Ic., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs of shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost. то Pittsburgh Denver Chicago Los Angeles $182 77 F New York Baltimore $375 290 275 $285 245 125 $460 575 380 R Pittsburgh M Denver 90 110

Susan manages the packaging supplies for the New Zealand distributorship of AllBirds product lines. It;s her job to order all the shoe boxes that house each pair of shoes (whether going to retail stores, or shipping directly to consumers via the online store). She purchases shoe boxes from a local printing supplier. The NZ distributor ships on average 325 boxes of shoes each month. Boxes cost $2.25 each, and each order costs $18 to process. Because of limited storage space, Susan's manager wants to charge inventory holding at 25% of the unit cost. The lead time is 7 days. Assume 360 working days per year. Calculate the following: a. Economic order Wuantity b. Reorder Point (assuming no safety stocks) c.Number of orders-per-Year d.Total annual cost e.If storage space was so limited, Susan estimates that inventory holding cots would only be 15% of unit cost. How would that change total annual costs?

14. Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Inc., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs of shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost. то Pittsburgh Denver Chicago Los Angeles New York Baltimore F $182 $375 $285 $460 R 77 290 245 575 Pittsburgh 275 125 380 M Denver 90 110 -