Julie stops at the grocery store to purchase detergent. Tide is her favorite brand, but if another detergent is less expensive, she buys it. This is an example of .

Atlas manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently atlas produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change? a. total manufacturing costs will increase and unit manufacturing costs will also increase. b. total manufacturing costs will stay the same and unit manufacturing costs will stay the same. c. total manufacturing costs will increase and unit manufacturing costs will decrease. d. total manufacturing costs will increase and unit manufacturing costs will stay the same.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Carmen co. can further process product j to produce product d. product j is currently selling for $20 per pound and costs $15.75 per pound to produce. product d would sell for $38 per pound and would require an additional cost of $8.55 per pound to produce. what is the differential revenue of producing product d?