An optimal solution to a linear programming problem must liea. somewhere in the interior of the feasible region. b. somewhere outside of the feasible region. c. at the intersection of at least two constraints. d. somewere on the line between two corner points.

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Consider derek's budget information: materials to be used totals $64,750; direct labor totals $198,400; factory overhead totals $394,800; work in process inventory january 1, $189,100; and work in progress inventory on december 31, $197,600. what is the budgeted cost of goods manufactured for the year? a. $1,044,650 b. $649,450 c. $657,950 d. $197,600

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?