Maintenance at a major theme park in central Florida is an ongoing process that occurs 24 hours a day. Because it is a long drive from most residential areas to the park, employees do not like to work shifts of fewer than eight hours. These eight-hour shifts start every four hours throughout the day. The number of maintenance workers needed at different times throughout the day varies. The following table summarizes the minimum number of employees needed in each four-hour time period.

Time Period Minimum Employees Needed

12 a. m. – 4 a. m. 90
4 a. m. – 8 a. m. 215
8 a. m. – 12 p. m. 250
12 p. m. – 4 p. m. 165
4 p. m. – 8 p. m. 300
8 p. m. – 12 a. m. 125

The maintenance supervisor wants to determine the minimum number of employees to schedule that meets the minimum staffing requirements.

1. Formulate the LP model for this problem.

2. Create the spreadsheet model and use Solver to solve the problem.

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