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Can someone please assist me with this problem: You sell coconuts on the beach. Total sales depend on how many people buy coconuts p as

Can someone please assist me with this problem:

You sell coconuts on the beach. Total sales depend on how many people buy coconuts p as well as how many coconuts each person buys b. For each coconut you sell, you make $5, so your total sales are f(p, b) = 5pb. Moreover, let p = g(t,r) b = h(t,r) describe how p and b in turn are determined by the temperature t and chance of rain r.

a) Let s represent your total sales. Describe in words what s/t represents, in the context of temperature, chance of rain, number of buyers, coconuts per buyer, and coconut sales.

b) Do the same for s/r.

c) Apply the chain rule to find s/r.

d) What do you expect the sign of s/r to be? Explain why, discussing the contribution of each derivative or partial derivative.

Thank You

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