Question

When a popular playwright opened a new play, he had to decide whether to open the show on Broadway or off Broadway. For example, he decided to open his last play off Broadway. From information provided from his producer, the following equations were developed: 43,900x - y = 1,298,000 26,000x - y = 430,000 where x represents the number of weeks that the show ran and y represents the profit or loss from the show. The first equation is for Broadway, and the second equation is for off Broadway. Complete parts (a) and (b) below. (a) Solve this system of equations to determine when the profit or loss from the show will be equal for each venue. What is the amount of that profit or loss? The profit or loss will be equal for each venue after about 48.5 weeks. (Round to one decimal place as needed.) The amount of profit or loss is $ . (Round to the nearest dollar as needed.)

Answer 1

Here we are given the system of equations. 43 900n-y = 1298000 - 26000 x-y - 430 000 - where a represents the number of weeks that the show ran and y represents the profit or loss from the show. Nous substracting from ③ we get 17 goox - 868000 x = 48.5 (after rounding off to one decimal) Nom substituting the value of u in @ me get y = 830782. Since I is positive, we will have a profit. Hence the profit or loss will be equal for each venue after about 48.5 weeks. The amount of profit is $830782.