These are regions of interconnected buyer, suppliers, and producers of complementary solutions, which emerge due to the benefits of proximity knowledge exchange.?

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:

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

(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?