please solve number ( C ) .

The BVW Industrial Valve Company produces a variety of large-diameter pipeline valves for the oil and gas sector. In the month of Oetober 2022, the BVW company produced 377 valves in 22 working days, employing a work force of 13 in each of those days. Working days are 8 hours long. Projected demand for valves during the next 2 quarters, from November 2022 to June 2023 is: The forecast demand for January 2023 is given as 4XX. You must replace XX with the last 2 digits of the student ID number of the Team leader. For example, a student ID number 335927 , would have a forecast of 427 valves for January 2023. Worker hiring costs are OMR 2275 per worker and firing costs are OMR 1750 per worker. Holding costs are OMR 685 per unit per year, and backorder cost is OMR 940 per unit per month. At the beginning of November 2022, the BVW Company had 34 valves on backorder. Furthermore, the company wishes to have at least 50 valves in stock (inventory) on May 14 2023. Workers are paid OMR 6.8 per hour for regular time labor. Overtime labor costs OMR 10.1 per worker per hour. The maximum budgeted overtime hours allowed is 300 hours per month for November, December and January, and then 400 hours per month from February to June. (c) Find an aggregate production plan that uses a constant workforce, and where backorders are allowed only in the months of January. February and March. You may hire or fire workers only at the start of November, and no overtime production is allowed. Calculate the cost of this plan. ( 8 points) The BVW Industrial Valve Company produces a variety of large-diameter pipeline valves for the oil and gas sector. In the month of Oetober 2022, the BVW company produced 377 valves in 22 working days, employing a work force of 13 in each of those days. Working days are 8 hours long. Projected demand for valves during the next 2 quarters, from November 2022 to June 2023 is: The forecast demand for January 2023 is given as 4XX. You must replace XX with the last 2 digits of the student ID number of the Team leader. For example, a student ID number 335927 , would have a forecast of 427 valves for January 2023. Worker hiring costs are OMR 2275 per worker and firing costs are OMR 1750 per worker. Holding costs are OMR 685 per unit per year, and backorder cost is OMR 940 per unit per month. At the beginning of November 2022, the BVW Company had 34 valves on backorder. Furthermore, the company wishes to have at least 50 valves in stock (inventory) on May 14 2023. Workers are paid OMR 6.8 per hour for regular time labor. Overtime labor costs OMR 10.1 per worker per hour. The maximum budgeted overtime hours allowed is 300 hours per month for November, December and January, and then 400 hours per month from February to June. (c) Find an aggregate production plan that uses a constant workforce, and where backorders are allowed only in the months of January. February and March. You may hire or fire workers only at the start of November, and no overtime production is allowed. Calculate the cost of this plan. ( 8 points)