and also write lingo code in compact form

this is product mix problem

The ACM manufacturing firm produces four different models of desks (M1 to M4) which differ in size, specifications and material usage, as shown in the following table. Over the coming week, the company anticipates to have up to 5000 hours of skilled labor time available, 8000 ounces of metal, 10000 ounces of glass and 12,000 ounces of wood available. The cost per unit of each of the resources is shown in the table below. Based on market analysis, the sales department believes that the company won't sell more than 1000, 500, 800 and 1500 units of M1, M2, M3 and M4, respectively. The company does not want to keep any desks in Inventory at the end of the week. The selling prices per desk of the four models are 30, 22, 35 and 26, respectively Resource Resource requirement per der M2 M1 Cost per unit M3 M4 Labor time 2 1.5 3 2 8 Metal 4 2 1 2 0.75 Glass 3 1 2 1 1 Wood 6 4 S 3 0.5 a) The company would like to determine the most profitable product mix. Formulate this problem as a linear program (clearly define the decision variables)