Employees use two methods to refinish chairs.Method 1 takes 1.5 hrs and materials cost 6.Method 2 takes 2 hrs and materials cost 5. Next week they plan to spend 273 in labor and 894 in material for refinishing chairs. How many chairs should they plan to refinish with each method.? the # of chairs refinished using method 1? the # of chairs refinished using method 2
let one hour of work be x and let one unit of money spent be y so to make a chair using method 1 you need 1.5x + 6y similarly you need 2x + 5y to build a chair using method 2 Let a be the number of chairs you build using method 1 Let b be the number of chairs you build using method 2 so a(1.5x + 6y) + b(2x + 5y) = 273x + 894y so 6a + 5b = 894 and 1.5a + 2b = 273 so 6a + 8b = 1092 so 8b - 5b = 1092 - 894 so b = 66 so a = (894-5*66)/6 = 94 so refurnish 94 chairs using method 1 and refurnish 66 chairs using method 2
