A tennis club is considering running an open day to encourage new members and thus increase membership fees. The cost of the open day will be $1,000. Attendance is dependent on the weather. There is a 60% chance of good weather and a 40% chance of poor weather on the open day.
The expected new membership fees are:
What is the expected value of running the open day?
Give your answer as a whole number.
A company is basing its budget on predicted sales of one of its products. They have tasked you with forecasting the sales in year 2. The company has found that a fairly accurate prediction can be found when the trend
is calculated like so:
a = 10,000
b = 2,000
The sales of year 1 were affected by seasonal variation and were as follows:
Q1:12,500
Q2:14,200
Q3:15,400
Q4:19,650
You use a multiplicative model and round percentages to the nearest whole percent.
Select ALL the correct quarterly forecasts of year 2 from the list.
A bakery manager is deciding how many batches of birthday cakes to decorate each day.
Demand for the birthday cakes varies from 12 to 15 batches per day. Each batch decorated and sold earns a contribution of $40 but each batch unsold leads to loss of contribution of $15.
The payoff table below shows the total $ contribution from each of the possibilities:
Based on expected values, the number of batches of birthday cakes the bakery manager should decorate each day is:
Two products being produced by a company require the same material which is limited to 2,600 kgs.
What is the optimal production plan?