Task 1:1. The quantity of sandwiches, Q, made in a small coffee shop is given by the equationQ = -2L³ +12L?where L is the number of labour-hours hired.(a) Write down the equations for the marginal product of labour (MP1) and average productof labour (APL). Give a verbal description of MP1 and APL at L = 1.5.(b) Calculate the units of labour at which MP1 and APL are maximised, and plot both graphson the same diagram. Confirm algebraically that MPL and APL are equal when APL is at amaximum.(c) Find the turning points and point of inflection for the production function. Plot the pro-duction function.(d) Use the graphs and any other results calculated in (a) and (b) to describe how productivity(Q= number of sandwiches) and the rate of change in productivity as the number of labourunits employed (L) increase.Is there any relationship between the turning points and points of inflection in the graphsplotted in (b) and (c)?

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1. The quantity of sandwiches, Q, made in a small coffee shop is given by the equation Q = -2L³ +12L² where L is the number of labour-hours hired. (a) Write down the equations for the marginal product of labour (MP1) and average product of labour (APL). Give a verbal description of MP1 and APL at L = 1.5. (b) Calculate the units of labour at which MP1 and APL are maximised, and plot both graphs on the same diagram. Confirm algebraically that MP1, and APL are equal when APL is at a maximum. (c) Find the turning points and point of inflection for the production function. Plot the pro- duction function. (d) Use the graphs and any other results calculated in (a) and (b) to describe how productivity (Q=number of sandwiches) and the rate of change in productivity as the number of labour units employed (L) increase. Is there any relationship between the turning points and points of inflection in the graphs

1. The quantity of sandwiches, Q, made in a small coffee shop is given by the equation Q = -2L³ +12L² where L is the number of labour-hours hired. (a) Write down the equations for the marginal product of labour (MP1) and average product of labour (APL). Give a verbal description of MP1 and APL at L = 1.5. (b) Calculate the units of labour at which MP1 and APL are maximised, and plot both graphs on the same diagram. Confirm algebraically that MP1, and APL are equal when APL is at a maximum. (c) Find the turning points and point of inflection for the production function. Plot the pro- duction function. (d) Use the graphs and any other results calculated in (a) and (b) to describe how productivity (Q=number of sandwiches) and the rate of change in productivity as the number of labour units employed (L) increase. Is there any relationship between the turning points and points of inflection in the graphs

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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