You run a small italian restaurant that does not yet serve pizza. in fact, your restaurant serves mainly pasta dishes and very little oven baked entrees. you have decided to convince your boss that he should be getting into the pizza business. he, however, is not quite convinced and is worried about the cost. your research shows that a brand new pizza oven would cost about $10,000. you have calculated the cost of actually making the pizza; ingredients, labor, and the cost of utilities in actually making the pizza, at $5.00 per pizza. your supervisor stated that he has made an agreement to buy freshly made pizzas from a larger restaurant outside of town for $6.75 each. using the formula q=(fc1-fc2)/(vc2-vc1), calculate the break-even quantity, q, at which point the cost of purchasing pizzas would be equal to the cost of making the pizzas in-house.

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76