In the Bank Location problem, four of the twenty counties were on adjacent to Pennsylvania. (Counties 1, 14, 15, 16.) If the bank president wanted to be sure that at least one bank was located in one of these counties, what constraint would need to be added to the model?
a. x1 + x14 + x15 + x16 > 1
b. x1 + x14 + x15 + x16 >= 1
c. x1 + x14 + x15 + x16 = 1
d. x1 + x14 + x15 + x16 <= 1

Your subscription to investing wisely weekly is about to expire. you plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $620, also payable immediately. assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Because this market is a monopolistically competitive market, you can tell that it is in long-run equilibrium by the fact thatmr=mc at the optimal quantity for each firm. furthermore, a monopolistically competitive firm's average total cost in long-run equilibrium isless than the minimum average total cost. true or false: this indicates that there is a markup on marginal cost in the market for engines. true false monopolistic competition may also be socially inefficient because there are too many or too few firms in the market. the presence of the externality implies that there is too little entry of new firms in the market.