To be profitable, a firm must recover its costs. These costs include both its fixed and its variable costs. One way that a firm evaluates at what stage it would recover the invested costs is to calculate how many units or how much in dollar sales is necessary for the firm to earn a profit. Consider this case: Roxxon Inc. is considering a project that will have fixed costs of $15,000,000. Its sale price will be $37.50 per unit, and it will have a variable cost per unit of $12.80. Therefore, Roxxon Inc. has to sell units to break even on this project (Qbe). Roxxon Inc/s marketing sales director doesn't think that the market for the firm's goods is big enough to sell enough units to make the company's target operating profit of $15,000,000. In fact, she believes that the firm will be able to sell only about 175,000 units. However, she also thinks the demand for Roxxon Inc.'s product is relatively inelastic, so the firm can increase the sale price. Assuming that the firm can sell 175,000 units, what price must it set to meet the CFO's EBIT goal of $15,000,000? a) $211.86 b) $230.29 c) $193.44 d) $184.23

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?