Michael, Dwight, and Jim 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 =40.750.25 , 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 marginal product of labor is =0.750.75 , and the marginal product of capital is =30.250.25 . The weekly cost function for the paper plant is =10+2 , where C is the total weekly cost.

Journalize the following transactions that occurred in september 2015 for aquamarines. no explanations are needed. identify each accounts payable and accounts receivable with the vendor or customer name. sep. 3 purchased merchandise inventory on account from shallin wholesalers, $5,000. terms 1/15, n/eom, fob shipping point. 4 paid freight bill of $80 on september 3 purchase. 4 purchased merchandise inventory for cash of $1,700. 6 returned $500 of inventory from september 3 purchase. 8 sold merchandise inventory to hermosa company, $6,000, on account. terms 2/15, n/35. cost of goods, $2,640. 9 purchased merchandise inventory on account from thomas wholesalers, $8,000. terms 2/10, n/30, fob destination. 10 made payment to shallin wholesalers for goods purchased on september 3, less return and discount. 12 received payment from hermosa company, less discount. 13 after negotiations, received a $200 allowance from thomas wholesalers. 15 sold merchandise inventory to jordan company, $2,500, on account. terms 1/10, n/eom. cost of goods, $1,050. 22 made payment, less allowance, to thomas wholesalers for goods purchased on september 9. 23 jordan company returned $400 of the merchandise sold on september 15. cost of goods, $160. 25 sold merchandise inventory to smithsons for $1,100 on account that cost $400. terms of 2/10, n/30 were offered, fob shipping point. as a courtesy to smithsons, $75 of freight was added to the invoice for which cash was paid by aquamarines. 26 after negotiations, granted a $100 allowance to smithsons for merchandise purchased on september 25. 29 received payment from smithsons, less allowance and discount. 30 received payment from jordan company, less return.

Alicia has a collision deductible of $500 and a bodily injury liability coverage limit of $50,000. she hits another driver and injures them severely. the case goes to trial and there is a verdict to compensate the injured person for $40,000 how much does she pay?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.