An appliance manufacturer produces two models of microwave ovens: x and y. both models require fabrication work; each x uses 10 hour of fabrication and each y uses 15 hours of fabrication. there are 30 fabrication hours available this week. x and y contribute $40 and $50 to the total profit, respectively. to find quantities of x and y that will maximize the total profit, build a linear programming model and solve the lp model using solver. what is the optimal profit?

Emil motycka is considered an entrepreneur because

The following transactions occur for badger biking company during the month of june: a. provide services to customers on account for $32,000. b. receive cash of $24,000 from customers in (a) above. c. purchase bike equipment by signing a note with the bank for $17,000. d. pay utilities of $3,200 for the current month. analyze each transaction and indicate the amount of increases and decreases in the accounting equation. (decreases to account classifications should be entered as a negative.)

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?