On january 1, professor smith made a resolution to lose some weight and save some money. he decided that he would strictly budget $100 for lunches each month. for lunch, he has only two choices: the faculty club, where the price of a lunch is $5, and alice's restaurant, where the price of a lunch is $10. every day that he does not eat lunch, he runs 5 miles. last month, professor smith chose to eat at the club 10 times and alice's 5 times. does this choice fit with his budget constrain?

Aproduction order quantity problem has a daily demand rate = 10 and a daily production rate = 50. the production order quantity for this problem is approximately 612 units. what is the average inventory for this problem?

1. consider a two-firm industry. firm 1 (the incumbent) chooses a level of output qı. firm 2 (the potential entrant) observes qı and then chooses its level of output q2. the demand for the product is p 100 q, where q is the total output sold by the two firms which equals qi +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of qi and q2 keeping in mind that firm 1 chooses qi first and firm 2 observes qi and chooses its q2. find the profits of the two firms-n1 and t2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of qi would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of qi? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f> 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q, denoted by q1', a expression for firm l's profit, when entry is deterred, as a function of f. for what values of f would firm 1 use an entry deterring strategy?

World systems manufactures an optical switch that it uses in its final product. world systems incurred the following manufacturing costs when it produced 74 comma 000 units last​ year: ​(click the icon to view the manufacturing​ costs.) another company has offered to sell world systems the switch for $ 13.50 per unit. the world systems prepared an outsourcing decision analysis to show the cost per unit of making the switches versus the cost per unit of buying​ (outsourcing) the switches. ​(click the icon to view the outsourcing decision​ analysis.) world systems needs 86 comma 000 optical switches next year​ (assume same relevant​ range). by outsourcing​ them, world systems can use its idle facilities to manufacture another product that will contribute $ 140 comma 000 to operating​ income, but none of the fixed costs will be avoidable. should world systems make or buy the​ switches? show your analysis.