A coffee roaster in Richardson has opened a retail store adjacent to the production plant. The plant manager wishes to optimize the inventory costs of the company’s best-selling coffee. The annual demand for the coffee is 36,000 bags and the plant works 240 days per yr. The plant can roast the coffee at a rate of 200 bags per day. The cost to prepare the equipment to start a production run is $200 and the annual inventory carrying cost is $3.6 per year. 1. What should be the optimum quantity of coffee to produce? 2. What is the maximum inventory achieved during a production run? 3. How many production runs are needed to meet the annual demand? 4. What is the average inventory of coffee? 5. What is the total annual cost of producing and storing the company’s best-selling coffee?

Profits from using currency options and futures.on july 2, the two-month futures rate of the mexican peso contained a 2 percent discount (unannualized). there was a call option on pesos with an exercise price that was equal to the spot rate. there was also a put option on pesos with an exercise price equal to the spot rate. the premium on each of these options was 3 percent of the spot rate at that time. on september 2, the option expired. go to the oanda.com website (or any site that has foreign exchange rate quotations) and determine the direct quote of the mexican peso. you exercised the option on this date if it was feasible to do so. a. what was your net profit per unit if you had purchased the call option? b. what was your net profit per unit if you had purchased the put option? c. what was your net profit per unit if you had purchased a futures contract on july 2 that had a settlement date of september 2? d. what was your net profit per unit if you sold a futures contract on july 2 that had a settlement date of september 2