Please Answer the question with formulas and steps. Please do not use chatGpt. You can determine the order quantity by yourself.

A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: less than 1000,$5.8 each; 1,000 to 3,999,$5.4 each; 4,000 to 5,999,$5.0 each; and 6,000 or more, $4.6 each. Ordering costs are $70 per order, annual carrying costs are 30 percent of the purchase cost, and annual usage is 5,000 pulleys. Determine an order quantity that will minimize the total cost (Ordering + Holding + Purchase)