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The U-Drive Rent-A-Truck company plans to spend $15 million on 310 new vehicles. Each commercial van will cost $35,000, each small truck $70,000, and each
The U-Drive Rent-A-Truck company plans to spend $15 million on 310 new vehicles. Each commercial van will cost $35,000, each small truck $70,000, and each large truck $60,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? They can buy vans, small trucks, and large trucks.The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of the system. 1 0 0 0 4/5 0 1 0 0 4 0 0 10 - 5 0 0 0 1 - 3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has exactly one solution. The solution is 4. -5, -3 (Type integers or fractions.) O B. The system has infinitely many solutions of the form (, , ,w ) , where w is any real number. Type integers or fractions.) O C. The system has no solution.Solve the system by back substitution. 4x + 8y + 2z +6w= -2 4y + 24z + 8w = 32 Z+w = 2 5w = 15 . . . 41 The solution set is 8 - 3 2 (Type an integer or a simplified fraction.)Use elimination to solve the system. 12x - 10y = 2 6x - 5y = 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution of the system is (Simplify your answer. Type an ordered pair.) O B. There are infinitely many solutions. O C. There is no solution.Use substitution to solve the system. 5x + 6y = - 33 4x - y = 20 . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution is (3, - 8) . (Type an ordered pair.) O B. There are infinitely many solutions. O C. There is no solution
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