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# A firm can produce 2 types of a certain product, namely basic B and deluxe D. The estimated profit per unit is $ 10 basic and $ 15 deluxe.

A firm can produce 2 types of a certain product, namely basic B and deluxe D. The estimated profit per unit is $ 10 basic and $ 15 deluxe.

The firm has 60 hours of labour available per day and 100 units of capital. Each unit of basic product B requires 2 hours of labour and 4 units of capital. Each unit of the de-luxe product D requires 4 hours of labour and 5 units of capital.

Labour and capital cannot be negative.

How much of each type of product should the firm produce in order to maximize profit?

- Define the objective function for a firm and the decision variables