Assume that Syntex Laboratories7 is reexamining the distribution of its sales force across major pharmaceutical products j = 1,

c, 7.

Present force levels ej are expected to produce sj units of product sales per month at a profit margin of pj per unit. However, extensive discussion and surveying has quantified impacts of changing the effort dedicated to different products. Nonlinear functions rj1xj2 predict the ratio of future to current product sales quantities as a function of xj!

ratio of future to current sales effort. Formulate an NLP model in terms of decision variables xj to determine a maximum total profit realignment of salesforce distribution keeping the total force unchanged and the force devoted to each product within {50% of the current levels.