Question

Jakes Performance Pizza is a small restaurant in New York City that sells gluten-free pizzas. Jakes very tiny kitchen has barely enough room for the four ovens in which his workers bake the pizzas. Jake signed a lease obligating him to pay the rent for the four ovens for the next year. Because of this, and because Jakes kitchen cannot fit more than four ovens, Jake cannot change the number of ovens he uses in his production of pizzas in the short run. However, Jakes decision regarding how many workers to use can vary from week to week because his workers tend to be students. Each Monday, Jake lets them know how many workers he needs for each day of the week. In the short run, these workers are inputs, and the ovens re inputs Jakes daily production schedule is presented in the following table. Fill in the blanks to complete the Marginal Product of Labor column for each worker. Output Marginal Product of Laboir Number of Workers (Pizzas) (Pizzas) 10i 130 150 160 4Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. Hint: Be sure to plot the first point at (0, 0) 200 180 Production Function 160 140 120 2 100 t) 80 Z 60 20 LABOR HIRED (Number of workers) Suppose that labor is Jakes only variable cost and that he has a fixed cost of $20 per day and pays each of his workers $30 per day.Use the orange points (square symbol) to plot Jakes total cost curve on the following graph using the quantities from the preceding table. 200 180 Total Cost 160 140 ㆆ 120 100 80 ー60 40 20 0 20 40 80 0 100 20 140 180 180 200 QUANTITY OF OUTPUT (Pizzas) True or False: The shape of the production function reflects the law of increasing marginal returns True False

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The difference between the fixed and the variable factors are the fixed factors remain fixed during the production process and the variable factor varies with the output. In this case the workers are variable inputs and the ovens are fixed input.

The marginal product of the labor is the addition made to the total product when an additional unit of the labour is employed. And this can be calculated by dividing the change in total output divided by the change in the labour employed.

MP =Delta TP/Delta L

OR by using the formula  =TP_{n}-TP_{n-1}

No of workers Output 60 160 Output 180 160 140 100 OutputThe production function and the marginal product is given above, the production function shows the relationship between the quantity produced and the number of labour employed.

The total cost is the sum of both the fixed as well as the variable cost, we should add both the variable and the fixed cost to get the total cost.

Total cost fixed cost variable cost 20 20 20 20 20 20 20 30 60 90 120 150 100 80 110 140 170 150 160 Total cost 180 160 140 1

The shape of the production function shows the law of diminishing marginal returns and not increasing marginal returns.

Ans: FALSE.

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