If the problem is to be solved by linear programming, do only the following: formulate, do only ONE complete pivot (i.e. move from the initial basis to the next basis). Comment on the status of the model at this second basis.

A contractor has a single portable truck for cleaning backyard decks. Cleaning a small deck requires 50 litres of cleaning fluid, while a medium deck requires 80 litres, and a large deck requires 100 litres. The truck operates for a maximum of 18 hours per day, and can handle only a single deck at a time. A small deck occupies the truck for a half hour, a medium deck occupies the truck for 1 hour, and a large deck also occupies the truck for one hour. To be profitable, the contractor requires the truck to clean at least 12 decks per day on average (ignore the travel time between sites). Finally, because of lobbying by the local homeowners' association, the average number of small decks cleaned per day must equal the total number of medium and large decks cleaned per day, on average. How many decks of each size should the truck clean per day, on average, to minimize the average amount of toxic cleaning fluid used per day? A contractor has a single portable truck for cleaning backyard decks. Cleaning a small deck requires 50 litres of cleaning fluid, while a medium deck requires 80 litres, and a large deck requires 100 litres. The truck operates for a maximum of 18 hours per day, and can handle only a single deck at a time. A small deck occupies the truck for a half hour, a medium deck occupies the truck for 1 hour, and a large deck also occupies the truck for one hour. To be profitable, the contractor requires the truck to clean at least 12 decks per day on average (ignore the travel time between sites). Finally, because of lobbying by the local homeowners' association, the average number of small decks cleaned per day must equal the total number of medium and large decks cleaned per day, on average. How many decks of each size should the truck clean per day, on average, to minimize the average amount of toxic cleaning fluid used per day