Question: Question 1 In this problem1 we will consider an intrinsically motivated agent who works on a single task. The principai's utility function is: UP :

Question 1 In this problem1 we will consider an intrinsically motivated agent who works on a single task. The principai's utility function is: UP : I m where I = e. The agent has payoH function U\" = w + 73: %eg, where 0

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=+ b. What is the per-worker production function, y = f(k)?

=+ c. Assume that neither country experiences population growth or technological progress and that

=+ a. Does this production function have constant returns to scale? Explain.