Please Formulate as a linear Programming Model with Detailed Steps and Guidance

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(4.) The Skimmer Boat Company manufactures the Water Skimmer bass fishing boat. The company purchases the engines at installs in its boats from the Margine Com- pany, which specializes in marine engines. Skimmer has the following production schedule for April, May, June, and July: Month Production April 60 May 85 June 100 July 120 Margine usually manufactures and ships engines to Skimmer during the month the engines are due. However, from April through July, Margine has a large order with another boat cus- tomer, and it can manufacture only 40 engines in April, 60 in May, 90 in June, and 50 in July. Margine has several alternative ways to meet Skimmer's production schedule. It can produce up to 30 engines in January, February, and March and carry them in inventory at a cost of $50 per engine per month until it ships them to Skimmer. For example, Margine could build an engine in January and ship it to Skimmer in April, incurring $150 in inventory charges. Margine can also manufacture up to 20 engines in the month they are due on an overtime basis, with an additional cost of $400 per engine. Margine wants to determine the least costly production schedule that will meet Skim- mer's schedule. 15 Points Formulate a linear programming model for this