Engineering Optimization: Theory and Practice, Fourth Edition

Problems 53

irrigation canal cannot supply more than 4× 105 m^3 of water. Formulate the problem of

finding the planting schedule for maximizing the expected returns of the farmer.

1.16 There are two different sites, each with four possible targets (or depths) to drill an oil
well. The preparation cost for each site and the cost of drilling at siteito targetjare
given below:

Drilling cost to targetj

Sitei 1 2 3 4 Preparation cost

1 4 1 9 7 11

2 7 9 5 2 13

Formulate the problem of determining the best site for each target so that the total cost

is minimized.

1.17 A four-pole dc motor, whose cross section is shown in Fig. 1.22, is to be designed with
the length of the stator and rotorx 1 , the overall diameter of the motorx 2 , the unnotched
radiusx 3 , the depth of the notchesx 4 , and the ampere turnsx 5 as design variables.

Figure 1.22 Cross section of an idealized motor.