document.write( "Question 935447: movie theaters pay a certain price for the movies that you and i see. Suppose a theater pays $1,500 for each showing of a popular movie. If they charge $7.50 for each ticket they sell,then they will lose money if ticket sales are less then $1,500. However, they will make a profit if ticket sales are greater than $1,500. What is the range of ticket they can sell and still lose money? what is the range of tickets they can sell and make a profit? \n" ); document.write( "
Algebra.Com's Answer #568704 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! profits linear model: \n" ); document.write( "y = 7.50x - 1500 \n" ); document.write( "where: \n" ); document.write( "x = number of tickets sold per movie showing \n" ); document.write( "y = profit made per movie showing \n" ); document.write( "--- \n" ); document.write( "break even point: \n" ); document.write( "0 = 7.50x - 1500 \n" ); document.write( "7.50x = 1500 \n" ); document.write( "x = 1500/7.50 \n" ); document.write( "x = 200 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "the theater loses money when they sell between zero and 199 tickets per showing \n" ); document.write( "--- \n" ); document.write( "the theater makes profit when they sell between 201 tickets and the number of tickets equal to the seating capacity, which should be significantly more than 200 seats \n" ); document.write( "--- \n" ); document.write( "note: \n" ); document.write( "this ignores the revenue generated by the sale of food and drink, which is a significant portion of the profit model for any theater \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |