Linear Programming Assignment Example | Topics and Well Written Essays - 1250 words

Linear Programming - Assignment Example Brass Ltd. manufactures two products named Masso and Russo. These products require machining and assembly hours for their production. The available capacity of each of these hours is limited. Also there are government controls on the maximum output of each type. Under these constraints, the company needs to develop an optimal production plan. The company also needs to know the impact of marginal increase in the constraints on its profitability. The selling prices of the products are also controlled by the government though demand is unfulfilled. The first assumption of the above model is the assumption of independence. This implies that the production of both products is independent of each other and so is their impact on the number of machining or assembly hours. Therefore, the two effects can be added to each other. The second assumption is the assumption of linearity. In other words it is assumed that a linear relation exists between the number of products and machining or assembly hours. This assumption makes possible the use of linear programming model for the given problem. The optimal solution can be obtained by solving the above model through Excel solver as shown in Figure 4.1 (Taha, 2009). In the beginning, the number of products of each type is taken as 1. The objective function value is the decision variable as it needs to be maximized. The number of products is the output variable while the constraints are given by the various inequalities. Sensitivity analysis is performed to notice the impact of a marginal increase in the value of machining hours and assembly hours on the objective function. From the figure, it can be noticed that when the available capacity of machining hours is changed from 700 to 701 hours, the profit increases by $15. When the available capacity of assembly hours is changed from 1000 to 1001 hours, the profit increases by $10. This increase in profit with marginal relaxation of

MediaSpark Case Study Example | Topics and Well Written Essays - 500 words

MediaSpark - Case Study Example The estimated target market left the company with no choice, but to choose America and Canada due to the large number of elementary schools. The major problem on the marketing strategy to be used in selling and distributing the product was the main concern. Georghiou felt that it was going to be difficult to convince the educators about the product without trial; they needed to see and try the product before making decisions. The market price of the product was; however, going to vary depending on the country and the user. Further to this, they identified various distribution channels that would handle the distribution and advertising duties (Lionais et al. 24). Although the product sell was successful, the solutions came with various advantages and disadvantages. The use of educational catalogue enabled selling several products to the educational institutions through online catalogues and publications; however, they would not sell Go Venture Entrepreneur in North America through any other channel because he had reached the teachers he had wished to reach. The use of software distribution as an indirect distribution channel was going to give the product a high profile than the text books and catalogues; however, the software distribution channel was highly fragmented with no companies operating in both the U.S. and Canada market. The choice of MarkED was disadvantaged because it lacked a sales force that would complement the catalogue. Furthermore, Georghiou was not sure if it was going to reach the teachers. On the other hand, IBM was technology-based and was already making distributions to schools (Lionais et al. 26). They then made an ag reement on a distribution that would last two years. He also had the choice of using an in-house distribution channel. He was going to hire sales representatives in the two countries to conduct sales, email campaigns, CD demos, public speaking, direct mails, seminars, and catalogue sales. Here, he would make a much