Can anyone answer this question it important

Companies under market structures are independent

(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?

Frost corporation incurred the following transactions during its first year of operations. (assume all transactions involve cash.) 1) acquired $1,900 of capital from the owners. 2) purchased $435 of direct raw materials. 3) used $290 of these direct raw materials in the production process. 4) paid production workers $490 cash. 5) paid $290 for manufacturing overhead (applied and actual overhead are the same). 6) started and completed 250 units of inventory. 7) sold 140 units at a price of $6 each. 8) paid $130 for selling and administrative expenses. the amount of raw material inventory on the balance sheet at the end of the accounting period would be: