I need question c's answer, and show me the details, thank you

Consider an economic order quantity model in which the annual demand is D, the cost of placing an order is C, and the cost of holding an item in stock for a year is Ch. 4a. Which of the following combinations of Co and Ch will give the largest value of EOQ, where EOQ is the economic order quantity? (You should assume that D is fixed.) A) Co = 2, Ch=1 B) Co=1, Ch=2 C) Co=3, C = 2 D) Co = 2, Ch = 3 [3 marks) 4b. Which of the following quantities will decrease if Dincreases, assuming that the order size is given by the EOQ formula? A) The annual ordering cost B) The average number of units held in stock/ C) The number of orders placed per year D) The amount of time between two consecutive deliveries [3 marks] Now consider an economic batch quantity model in which the production rate is P per unit time, the set-up cost is Co, and Chand D are defined in the same way as before. 4c. Which of the following will cause the economic batch quantity (EBQ) to decrease? A) Increasing C. B) Increasing D C) Increasing P D) Increasing D/P, i.e. the ratio between D and P [3 marks) A factory holds large quantities of ball bearings in stock, to be used in the manufacture of machine parts. These ball bearings are purchased in boxes containing 250 ball bearings from an external supplier, at a cost of 20 per box. The factory typically uses 3000 ball bearings per week for each of 50 working weeks during the year. There is a fixed cost of 3 for placing a new order for ball bearings, and the annual cost of holding these in stock is 2% of the average stock value. 4d. Given that the factory operators wish to avoid having more than 20,000 ball bearings in stock at a time, calculate the optimal order quantity. The following data report the number of sales in thousands (000s) of batteries in the UK each quarter. Year Quarter Sales 1 1 198.33 2 156.03 3 216.37 4 215.10 2 1 193.53 2 180.07 3 238.90 4 210.97 3 1 217.40 2 176.57 3 224.93 4 272.20 a. Which of the following statements is true? [2 marks] A) The time series has neither trend nor seasonality B) The time series has both trend and seasonality C) The time series has no trend but has seasonality D) The time series has trend but no seasonality b. Using a 3-point Moving Average, forecast the sales of batteries in year 4 quarters 1, 2, 3 and 4, working to 2 d.p. Which of the following correctly represents the forecasts for the quarters in year 4? Show all working. If your solution is incorrect you may still gain marks for working. [8 marks] A) Q1 - 281.9, Q2 - 297.5, Q3 - 303.0, Q4 - 318.5 B) Q1 - 261.1, Q2 - 279.4, Q3 - 297.6, Q4 - 315.9 C) 01 - 297.7, Q2 - 302.3, Q3 - 307.0, Q4 - 311.6 D) 01 - 250.6, Q2 - 294.3, Q3-328.0, 04 - 341.8 C. Now using Holt's method, with smoothing constants of alpha=0.3 and beta=0.3, forecast the sales in year 4 quarters 1, 2, 3 and 4. Initialise the smoothed level using S1 = 198.3 and smoothed trend using b1 = 9.02. [8 marks) Consider an economic order quantity model in which the annual demand is D, the cost of placing an order is C, and the cost of holding an item in stock for a year is Ch. 4a. Which of the following combinations of Co and Ch will give the largest value of EOQ, where EOQ is the economic order quantity? (You should assume that D is fixed.) A) Co = 2, Ch=1 B) Co=1, Ch=2 C) Co=3, C = 2 D) Co = 2, Ch = 3 [3 marks) 4b. Which of the following quantities will decrease if Dincreases, assuming that the order size is given by the EOQ formula? A) The annual ordering cost B) The average number of units held in stock/ C) The number of orders placed per year D) The amount of time between two consecutive deliveries [3 marks] Now consider an economic batch quantity model in which the production rate is P per unit time, the set-up cost is Co, and Chand D are defined in the same way as before. 4c. Which of the following will cause the economic batch quantity (EBQ) to decrease? A) Increasing C. B) Increasing D C) Increasing P D) Increasing D/P, i.e. the ratio between D and P [3 marks) A factory holds large quantities of ball bearings in stock, to be used in the manufacture of machine parts. These ball bearings are purchased in boxes containing 250 ball bearings from an external supplier, at a cost of 20 per box. The factory typically uses 3000 ball bearings per week for each of 50 working weeks during the year. There is a fixed cost of 3 for placing a new order for ball bearings, and the annual cost of holding these in stock is 2% of the average stock value. 4d. Given that the factory operators wish to avoid having more than 20,000 ball bearings in stock at a time, calculate the optimal order quantity. The following data report the number of sales in thousands (000s) of batteries in the UK each quarter. Year Quarter Sales 1 1 198.33 2 156.03 3 216.37 4 215.10 2 1 193.53 2 180.07 3 238.90 4 210.97 3 1 217.40 2 176.57 3 224.93 4 272.20 a. Which of the following statements is true? [2 marks] A) The time series has neither trend nor seasonality B) The time series has both trend and seasonality C) The time series has no trend but has seasonality D) The time series has trend but no seasonality b. Using a 3-point Moving Average, forecast the sales of batteries in year 4 quarters 1, 2, 3 and 4, working to 2 d.p. Which of the following correctly represents the forecasts for the quarters in year 4? Show all working. If your solution is incorrect you may still gain marks for working. [8 marks] A) Q1 - 281.9, Q2 - 297.5, Q3 - 303.0, Q4 - 318.5 B) Q1 - 261.1, Q2 - 279.4, Q3 - 297.6, Q4 - 315.9 C) 01 - 297.7, Q2 - 302.3, Q3 - 307.0, Q4 - 311.6 D) 01 - 250.6, Q2 - 294.3, Q3-328.0, 04 - 341.8 C. Now using Holt's method, with smoothing constants of alpha=0.3 and beta=0.3, forecast the sales in year 4 quarters 1, 2, 3 and 4. Initialise the smoothed level using S1 = 198.3 and smoothed trend using b1 = 9.02. [8 marks)