Mango company applies overhead based on direct labor costs. for the current year, mango company estimated total overhead costs to be $360,000, and direct labor costs to be $180,000. actual overhead costs for the year totaled $387,000, and actual direct labor costs totaled $203,000. at year-end, the balance in the factory overhead account is a:

Florence invested in a factory requiring. federally-mandated reductions in carbon emissions. how will this impact florence as the factory's owner? a. her factory will be worth less once the upgrades are complete. b. her factory will likely be bought by the epa. c. florence will have to invest a large amount of capital to update the factory for little financial gain. d. florence will have to invest a large amount of capital to update the factory for a large financial gain.

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?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.