Formulate the following as a linear program to maximize profit. Each unit of product 1 yields a profit of $80 and product 2 yields a profit of $60/unit. Each product must pass through two departments before it is complete. Dept. 1 is available for 150 hours and dept. 2 is available for 250 hours. Each product 1 spends 6 hours in dept. 1 and 4 hours in dept. 2. Each product 2 spends 9 hours in dept. 1 and 2 hours in dept. 2. Advertising costs (which have already been included in the above profits) are $5 per unit of product 1 and $7 per unit of product 2. There is a total advertising budget of $ YOUR REGISTRATION number multiplied by 1000.