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(t) in °C of the pot of soup at time t (in The initial temperature of a pot of soup is 80°C. The temperature minutes) satisfies the differential equation dT di T-20 10 (a) Solve the differential equation, and find an explicit expression for the function ().

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26 Dec 2017
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Problem 13. Daphne's Daisies sells two types of pots of flowers, Daisy Pot and Fern Pot. They have only enough pots to sell a total of 50 flower pots per day. There is a commitment to make at least 20 Daisy Pots and at least 10 Fern Pots every day. In addition, the shop has a profit of $6 per Daisy Pot and $4 per Fern Pot sold. If the shop makes the correct number of each type of flower pot to maximize their profit on a given day, how many of each type of flower pots will be made, and what will the profit be? A) 20 Daisy Pots and 30 Fern Pots for a profit of $240; B) 100 Daisy Pots and 10 Fern Pots for a profit of $600; C) 40 Daisy Pots and 10 Fern Pots for a profit of $280; D) 50 Daisy Pots and 0 Fern Pots for a profit of $300; E) 0 Daisy Pots and 50 Fern Pots for a profit of $200; F) none of these.

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