The transporter proteins of a coccus bacterium (e.g. S aureus) take up glucose at a rate proportional to the cell's surface area. The glucose is simultaneously consumed at a rate proportional to its volume. Describe, in relation to these two rates(the rate of uptake and the rate of consumption), the size of cell for which the net rate of glucose cumulation is maximal. Explain your terms, make clear any assumptions you are making, and provide full documentation of your sources.
Rate of change/ Net rate calculus question?
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