Miguel and jake 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 = 4k^0.75l^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 = 3l^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?

Ail industries uses activity-based costing to assist management in setting prices for the company's three major product lines. the following information is available: activity cost pool estimated overhead expected use of cost driver per activity cutting $1,000,000 25,000 labor hours stitching 8,000,000 320,000 machine hours inspections 2,800,000 160,000 labor hours packing 960,000 64,000 finished goods units compute the activity-based overhead rates. (round answers to 2 decimal places, e.g. 12.25.)

For each separate case below, follow the 3-step process for adjusting the prepaid asset account at december 31. step 1: determine what the current account balance equals. step 2: determine what the current account balance should equal. step 3: record the december 31 adjusting entry to get from step 1 to step 2. assume no other adjusting entries are made during the year. a. prepaid insurance. the prepaid insurance account has a $4,700 debit balance to start the year. a re- view of insurance policies and payments shows that $900 of unexpired insurance remains at year-end. b. prepaid insurance. the prepaid insurance account has a $5,890 debit balance at the start of the year. a review of insurance policies and payments shows $1,040 of insurance has expired by year-end. c.prepaidrent.onseptember1ofthecurrentyear,thecompanyprepaid$24,000 for 2 years of rentfor facilities being occupied that day. the company debited prepaid rent and credited cash for $24,000.

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