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**[SOLVED] &amp;quot;Assortment of Structural Steel Beams&amp;quot;&amp;amp**

Hi,

Dose anybody know the solution for this problem? Please, help.

Thanks,

A Japanese industrial firm, Itsa Steel Company, manufactures structural beams of a standard length. The strength of a beam depends on its weight, and Itsa Steel indexes the various strengths it can make as j = 1, 2, ...,N, where j = 1 is the heaviest beam and j = N is the lightest. Assume that if a customer requests Strength k, then Itsa Steel may, if it chooses, supply the demand by a beam of possibly greater Strength j, where j < k. Itsa Steel must solve the following assortment problem: The demand requirement for Strength j is D(j) beams; all demand must be satisfied. If Itsa Steel decides to manufacture Strength j, then it incurs and expensive setup cost, s(j). If the company meets the demand requirement D(j) by shipping beams of Strength k, where k <= j, then the company incurs a loss of h*[w(k)-w(j)]*D(j), where w(k) and w(j) are therespective weights of the beams and h is the cost per unit of weight.Formulate a model that will enable Itsa Steel to decide an optimalassortment of strengths to manufacture and the corresponding amounts of each.