Question: Q3. A study indicated that the productivity, as measured by quantity produced per hour, for an average worker who starts their shift at 8am

Q3. A study indicated that the productivity, as measured by quantity produced per hour, for an average worker who starts their shift at 8am is given by Q = -+3+6t2 + 24t. i. What is their productivity 3 hours later? [3 marks] ii. At what rate does their productivity change? [3 marks] iii. What is the total quantity they produced in these 3 hours (remember that time is continuous)? Round up to two dec- imals. [3 marks]

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