1. The number of pizzas ordered on Friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is shown below. Use exponential smoothing with smoothing constants of .2 and .8 to forecast a value for week 11 (i.e., prepare two forecasts using each of the alpha values). Compare your forecasts using MSE. Which smoothing constant does a better job using lower MSE as the criterion?
58, 46, 55, 39, 42, 63, 54, 55, 61, 52
2. A trend line for the attendance at a restaurant's Sunday brunch is given by
Number = 264 + .72(t)
How many guests would you expect in week 20?
(no catch here - it's a simple question ;-)> )
3. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below.
Fliptop Model Tiptop Model Available
Plastic 3 4 36
Ink Assembly 5 4 40
Molding Time 5 2 30
The profit for either model is $1000 per lot.
a. What is the linear programming model for this problem?
b. Find the optimal solution.
c. Will there be excess capacity in any resource?
This posting contains solution to following forecasting and Linear programming problems.