Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company
B charges a $90 monthly consulting fee plus $12 per square foot of landscaping.
1. Write two equations for the situation. (2 points: 1 for each equation)
2. Solve for the variable, showing at square feet will both companies charge be the
same. (2 points: 1 for showing your work, 1 for the correct final answer)

The lee family is looking to buy a house in one of two suburban areas just outside of a major city, and air quality is a top priority for them. overall air quality is calculated by taking measures in 100 locations within each suburb and then calculating a measure of central tendency. in one suburb, there is a major bus station that creates very poor air quality at its location but has no impact in the surrounding parts of the suburb. in this situation, which measure of overall suburb air quality would be most useful?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Randall's, inc. has 20,000 shares of stock outstanding with a par value of $1.00 per share. the market value is $12 per share. the balance sheet shows $42,000 in the capital in excess of par account, $20,000 in the common stock account, and $50,500 in the retained earnings account. the firm just announced a 5 percent (small) stock dividend. what will the balance in the retained earnings account be after the dividend?