A transport company operates two type of trucks of 60m3 capacity. Type A trucks each have a refrigerated capacity of 20m3 and a non-refrigerated capacity of 40m3. Type B trucks on the other hand, are equally split with refrigerated, and non-refrigerated capacities of 30m3. A grocer needs to hire trucks for the transport of at least 3,000m3 of refrigerated stock and at least 4000m3 of non-refrigerated stock. The cost per kilometer of a Type A truck is $30, and $40 for a Type B truck. Formulate the appropriate problem for the grocer in terms of the following decision variables:

x1=24 number of Type A trucks to hire
x2= number of Type B trucks to hire

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?