A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to match capacities and requirements. Data on transportation costs (in dollars per unit), capacities, and requirements are given below. ​ Warehouse Plant 1 2 3 Capacities A 2.41 1.63 2.09 4,000 B 3.18 5.62 1.74 6,000 C 4.12 3.16 3.09 2,000 Requirement 8,000 2,000 3,000 a. How many variables are involved in the LP formulation? b. How many constraints are there in this problem? c. What is the constraint corresponding to Plant C? d. What is the constraint corresponding to Warehouse 3? e. What is the minimum transportation cost?

In a perfectly competitive market, the long-run market supply curve tends to be horizontal or nearly so. what is another way to state this fact? (a) market supply is much more elastic in the long run than the short run. (b) in the long run, average total cost is minimized. (c) in the long run, price equals marginal cost. (d) market supply is much less elastic in the long run than the short run.

Find the zeros of the polynomial 5 x square + 12 x + 7 by factorization method and verify the relation between zeros and coefficient of the polynomials

Sailcloth & more currently produces boat sails and is considering expanding its operations to include awnings for homes and travel trailers. the company owns land beside its current manufacturing facility that could be used for the expansion. the company bought this land 5 years ago at a cost of $319,000. at the time of purchase, the company paid $24,000 to level out the land so it would be suitable for future use. today, the land is valued at $295,000. the company has some unused equipment that it currently owns valued at $38,000. this equipment could be used for producing awnings if $12,000 is spent for equipment modifications. other equipment costing $490,000 will also be required. what is the amount of the initial cash flow for this expansion project?