During the first week of March the following events happened:
March 1, Fred sent a letter to Barney offering to sell his car for $5000.
March 2, Fred sent Barney a revocation of his offer.
March 3, Barney received the offer.
March 4, Barney sent Fred a rejection of the offer.
March 5, Barney called Fred and accepted the offer.
March 6, Barney received the revocation and Fred received the rejection.
Required:
1. Is there a contract between Fred and Barney?

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:

Abbington company has a manufacturing facility in brooklyn that manufactures robotic equipment for the auto industry. for year 1, abbingtonabbington collected the following information from its main production line: actual quantity purchased-200 units, actual quantity used-110 units, units standard quantity-100 units, actual price paid-$8 per unit, standard price-$10 per unit. atlantic isolates price variances at the time of purchase. what is the materials price variance for year 1? 1. $400 favorable. 2. $400 unfavorable. 3. $220 favorable. 4. $220 unfavorable.

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?