Business: Sales If a company spends r million dollars on research, its sales will be s million dollars, where r and s are related by s2 = r3 -55.
a. Find ds/dr by implicit differentiation and evaluate it at r = 4, s = 3. [Hint: Differentiate the equation with respect to r.]
b. Find dr/ds by implicit differentiation and evaluate it at r = 4, s = 3. [Hint: Differentiate the original equation with respect to s.]
c. Interpret your answers to parts (a) and (b) as rates of change.
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