a machine that produces a certain piece must be turned off by the oper

Question

A machine that produces a certain piece must be turned off by the operator after each piece is completed.The machine "coasts" for 15 seconds after it is turned off, thus preventing the operator from removing the piece quickly before producing the next piece. An engineer has suggested installing a brake that would reduce the coasting time to 3 seconds. The machine produces 50,000 pieces ayear. The time to produce one piece is1 minute 45 seconds, excludingcoasting time. The operator earns $Han hour and direct costs for operationare $D an hour. The direct costs areincurred whenever the operator has towork. The brake will require servicingevery S hours of operation. It will takethe operator 30 minutes to performthe necessary maintenance and willrequire $M in parts and material. Thebrake is expected to last 7,500 hours ofoperation (with proper maintenance)and will have no salvage value. When deciding whether to buy a brake or not for a machine, the appropriate break even analysis will compare: the cost of the machine without a brake to the cost of the machine with a brake.Without a brake the time horizon is for1 year, and with a brake the time horizon is the life of the brake.The cost of no brake includes only what the operator earns per hour and the-direct costs per hour.The cost of the brake includes the initial cost of the brake, what the operator earns per hour and the direct costs per hour, as well as the cost of maintenance of the brake. the cost of the machine without a brake to the cost of the machine with a brake.The time horizon with and without the brake need to be the same, so a logical time horizon for both is the life of the brake.The cost of no brake includes only what the operator earns per hour and the-direct costs per hour.The cost of the brake includes the initial cost of the brake, what the operator earns per hour and the direct costs per-hour, as well as the cost of maintenance of the brake. the cost of the machine without a brake to the cost of the machine with a brake.Without a brake the time horizon is for1 year, and with a brake the time horizon is the life of the brake.The cost of no brake includes only what the operator earns per hour and the direct costs per hour.The cost of the brake includes the initial cost of the brake, what the operator earns per hour and the direct costs per hour.