The manager of the main laboratory facility at Center is interested in being able to predict the overhead costs each month for the lab. The manager believes that total overhead varies with the number of lab tests performed but that some costs remain the same each month regardless of the number of lab tests performed. The lab manager collected the following data for the first seven months of the year. Month Number of Lab test performed Test Laboratory overhead cost
January 2,800 $21,500
February 2,600 $22,700
March 3,100 $27,900
April 3,550 $31,400
May 3,700 $28,500
June 1,200 $19,500
July 1,400 $14,500

Required:
Use the high-low method to determine the laboratory's cost equation for total laboratory overhead.

The simple interest in a loan of $200 at 10 percent interest per year is

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?

Dakota products has a production budget as follows: may, 16,000 units; june, 19,000 units; and july, 24,000 units. each unit requires 3 pounds of raw material and 2 direct labor hours. dakota desires to keep an inventory of 10% of the next month’s requirements on hand. on may, 1 there were 4,800 pounds of raw material in inventory. direct labor hours required in may would be: