Oswald Industries is planning their buying policy for a 4-month period. It manufactures crankcases for a large auto manufacturer and it buys its raw steel in lot sizes of 150, 300, 450, 600 and 750 kg. However, quantity discounts apply, so that 150 kg costs $2000, 300 kg costs $2800, 450 kg costs $3 100, 600 kg costs $3 400, and 750 kg costs $3 500. Anticipated usage over the 4-month period is as follows: Month 1 2 3 Usage (kg) 300 750 450 600 An inventory holding charge of two dollars per kg is incurred per month based on the end-of-month inventory including month 4. Shortages are also allowed but are limited to 150kg per month and are charged at five dollars per kg based on the end-of-month inventory which also includes month 4. The company's storage space will only handle 750 kg at a time. There is 150kg of steel in storage at the start of the planning period, and steel used in month of purchase need not be stored. Determine the how much steel should be ordered each month to minimize the total cost of buying and storing steel to meet the anticipated usage by using dynamic programming. Oswald Industries is planning their buying policy for a 4-month period. It manufactures crankcases for a large auto manufacturer and it buys its raw steel in lot sizes of 150, 300, 450, 600 and 750 kg. However, quantity discounts apply, so that 150 kg costs $2000, 300 kg costs $2800, 450 kg costs $3 100, 600 kg costs $3 400, and 750 kg costs $3 500. Anticipated usage over the 4-month period is as follows: Month 1 2 3 Usage (kg) 300 750 450 600 An inventory holding charge of two dollars per kg is incurred per month based on the end-of-month inventory including month 4. Shortages are also allowed but are limited to 150kg per month and are charged at five dollars per kg based on the end-of-month inventory which also includes month 4. The company's storage space will only handle 750 kg at a time. There is 150kg of steel in storage at the start of the planning period, and steel used in month of purchase need not be stored. Determine the how much steel should be ordered each month to minimize the total cost of buying and storing steel to meet the anticipated usage by using dynamic programming