Eastborne realty has $2 million available for the purchase of new rental properties. after an initial screening, eastborne reduced the investment alternatives to townhouses and apartment buildings. each townhouse can be purchased for $282,000 and five are available. each apartment building can be purchased for $400,000, and the developer will construct as many buildings as eastborne wants to purchase. partial investment can be made (i. e., eastborne can purchase one-third of a unit and share costs and management duties with another real estate company).eastborne’s property manager can devote up to 140 hours per month to these new properties; each townhouse is expected to require 10 hours per month, and each apartment building is expected to require 40 hours per month. the company has decided to stay diversified, such that the number of apartment buildings is at least as many as the number of townhouses purchased. the annual cash flow, after deducting mortgage payments and operating expenses, is estimated to be $10,000 per townhouse and $15,000 per apartment building. eastborne’s owner would like to determine the number of townhouses and the number of apartment buildings to purchase to maximize annual cash flow. formulate a linear program that can be used to determine the number of townhouses and apartment buildings eastborne should purchase to maximize cash flow. use solver to determine the cash flow maximizing quantity of townhomes and apartment buildings subject to the constraints. how many townhomes and apartment buildings should be purchased? at the optimal quantities, what is the cash flow? list each constraint, whether it is binding or non-binding, the constraints slack value and the shadow price.