Diego's machine shop uses 2,500 brackets over the course of a year, and this use is relatively constant throughout the year. These mounts are purchased from a vendor 100 miles away for $ 15 each. The maintenance cost per year is $ 1.50 and the cost to place an order is $ 18.75. Consider 250 working days a year for your answers.

Based on the problem above, Diego wants to reconsider his decision to buy the brackets and is considering making them on his own. You have determined that the installation cost would be $ 25 machinist time and production time per order, and 50 supports could be produced in one day once the machine is set up. Diego estimates that the cost (including labor time and materials) of producing a stand would be $ 14.80. The maintenance cost would be 10% of this cost. Consider 250 working days a year for your answers.

What is the optimal amount of production?

What is the time required to produce the maximum inventory?