Question: A donut making company has won the right to sell donuts at a trade fair. The trade fair lasts for 1 day only. The company is trying to decide how many staff members and donut machines to send. 1 staff member is required per 2,000 donuts and 1 machine is required per 3,000 donuts. Thus if they sent 2 machines and 2 people then they would be able to make at most 4,000 donuts. Of course if there are not enough customers then they will make less than this. Each staff person costs $110 per day and each machine that is taken costs $300 per day. Each donut made costs $0.2 in materials and sells for $0.6. Donuts are made on demand, so there is no concern about spoilage of materials for the short time of the trade fair. The company expects that demand for donuts will be between 2,000 and 5,000. Fill in the payoff matrix below for the total profit made for each combination. Profits should be shown as positive, losses as negative. Answers should be to the nearest dollar.

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