Handwritten solution please.

A Manutacturing Company has a contract to deliver 100,250,190, 140,220, and 110 home windows over the next 6 months. Production cost (labor, material, and utilities) per window varies by period and is estimated to be $50, $45, $55, $48, $52, and $50 over the next 6 months. To take advantage of the fluctuations in manufacturing cost, the company can produce more windows than needed in a given month and hold the extra units for delivery in later months. This will incur a storage cost at the rate of $8 per window per month assessed on end-of- month inventory (a) Develop a linear program to find the optimal production schedule that will minimize the total while meeting the demand. (20 points)