Suppose a transportation system has a long-run total cost curve tc q q ( ) 1 = + and faces an inverse demand p q q ( ) = − α . a) state the conditions (values for α ) and under which the system can make a positive profit? hint: start by finding the value of q that maximizes profit (p(q)q-tc(

Southeastern bell stocks a certain switch connector at its central warehouse for supplying field service offices. the yearly demand for these connectors is 15,000 units. southeastern estimates its annual holding cost for this item to be $25 per unit. the cost to place and process an order from the supplier is $75. the company operates 300 days per year, and the lead time to receive an order from the supplier is 2 working days. a) find the economic order quantity. b) find the annual holding costs. c) find the annual ordering costs. d) what is the reorder point?

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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