Jake and Paul run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's long-run production function is Q = 4 K^0.75 L^0.25, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. For this production function, the MPL = K^0.75/L ^0.75 and the MPK = 3 L^0.25/K^0.25. The weekly cost function for the paper plant is C = 10K + 2L, where C is the total weekly cost

a. What ratio of capital to labor minimizes Jake and Paul's total costs?

b. How much capital and labor will Jake and Paul need to rent and hire in order to produce 1,000 reams of paper each week?

c. How much will hiring these inputs cost them?

Suppose that the free states of eldricia, a small nation, has consumption, investment, government purchases, imports, and exports as follows. consumption $140 investment $50 government purchases $45 imports $30 exports $15 calculate the free states of eldricia's gdp

Zachary company produces commercial gardening equipment. since production is highly automated, the company allocates its overhead costs to product lines using activity-based costing. the costs and cost drivers associated with the four overhead activity cost pools follow: activities unit level batch level product level facility level cost $ 64,800 $ 27,730 $ 15,000 $ 154,000 cost driver 2,400 labor hrs. 47 setups percentage of use 11,000 units production of 780 sets of cutting shears, one of the company’s 20 products, took 240 labor hours and 7 setups and consumed 15 percent of the product-sustaining activities. required: (a) had the company used labor hours as a company wide allocation base, how much overhead would it have allocated to the cutting shears? (b) how much overhead is allocated to the cutting shears using activity-based costing? (c) compute the overhead cost per unit for cutting shears first using activity-based costing and then using direct labor hours for allocation if 780 units are produced. if direct product costs are $150 and the product is priced at 30 percent above cost for what price would the product sell under each allocation system? (d) assuming that activity-based costing provides a more accurate estimate of cost, indicate whether the cutting shears would be over- or underpriced if direct labor hours are used as an allocation base. explain how over-or undercosting can affect vaulker's profitability. (e) comment on the validity of using the allocated facility-level cost in the pricing decision. should other costs be considered in a cost- plus pricing decision? if so, which ones? what costs would you include if you were trying to decide whether to accept a special order?

Ann chovies, owner of the perfect pasta pizza parlor, uses 20 pounds of pepperoni each day in preparing pizzas. order costs for pepperoni are $10.00 per order, and carrying costs are 4 cents per pound per day. lead time for each order is three days, and the pepperoni itself costs $3.00 per pound. if she were to order 80 pounds of pepperoni at a time, what would be the average inventory level?