You are aware that your happiness in the early afternoon depends on what you have eaten for lunch. After many years of research, you are reasonably sure that your happiness, H, is a function of the number of sandwiches, s, and chocolate bars, c, consumed and is given by

If each sandwich costs $3.50, each chocolate bar costs $1.25, and you budget for $10 each lunch, determine the optimal purchase to maximize your afternoon happiness. You should assume that it is possible to purchase any fraction of a sandwich or chocolate bar.

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H(s, c) = $¹1/22/5