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[answered] a this industry. Using information of production and costs,

a this industry. Using information of production and costs, PoolVac wants to estimate its average variable cost (AVC) using the following quadratic specification:

???????????? = ???? + ???????? + ????????! + ????????????????????

Where: AVC is the average monthly variable cost and Q is the quantity produced, and Sold monthly by Sting Ray. The AVC and Q data are shown in the following table

It is also known that PoolVac, Inc.'s monthly total fixed cost (TFC) amounts

To $ 45,000 per month

1) Run a regression to estimate the average variable cost function(Stroke). To evaluate the statistical significance (p-values) of the three Parameters using a significance level of 5% Be sure to comment on the algebraic signs of the three Parameter estimates

2) Using the (estimated) AVC found in the first question[1], calculate the total cost (TC), total variable cost (CVT), average total cost (ATC) and Short-term marginal cost (SMC) of PoolVac. ?[Before doing this Compute Q from lowest to highest 3, and AVC (estimated) must be

Aligned with your production level].

3) Present in a graph ?ATC (estimated), AVC (estimated) and SMC (Estimated) [ATC (estimated) and SMC (estimated) are found in 2)]. HE Seem to the functions of ATC, AVC and SMC that the theory presents? [Remember that the production level (Q) goes on the abscissa (X) axis and the Other variables on the ordinate (Y) axis]

4) With the estimated parameters (c, b, and a) in the first question, compute the minimum stroke level.

5) If the company were "perfect competition", what would be the price Minimum at which the firm could operate in the short term?

Versi?n espa?ol

PoolVac, Inc. fabrica y vende un solo producto llamado "Sting Ray", el cual es un

dispositivo de limpieza autom?tico para piscinas. Sting Ray de PoolVac

representa el 65% de las ventas totales en esta industria. Utilizando informacion

de producci?n y costos, PoolVac desea estimar su costo variable medio (AVC)

mediante la siguiente especificaci?n cuadr?tica:

???????????? = ???? + ???????? + ????????! + ????????????????????

D?nde: AVC es el costo variable medio mensual y Q es la cantidad producida y vendida mensual de Sting Ray . La data de AVC y Q se muestran en la siguiente tabla

Tambi?n se sabe que el costo fijo total (TFC) mensual de PoolVac, Inc. Asciende a $45,000 mensuales

1) Correr una regresi?n para estimar la funci?n de costo variable promedio

(AVC). Evaluar la significancia estad?stica (p-values) de los tres par?metros estimados utilizando un nivel de significancia de 5%. Aseg?rese de comentar sobre los signos algebraicos de las tres estimaciones de los par?metros

2) Utilizando el AVC (estimado) encontrado en la primera pregunta[2], calcule el costo total(TC), costo variable total (TVC), costo total medio (ATC) y el costo marginal de corto plazo (SMC) de PoolVac. [Antes de hacer este c?lculo ordenar Q de menor a mayor 3, y AVC (estimado) tiene que estar alineado con su nivel de producci?n].

3) Presente en una gr?fica ATC(estimado), AVC(estimado) y SMC (estimado) [ATC(estimado) y SMC (estimado) son encontrados en 2)]. ?Se parecen a las funciones de ATC, AVC y SMC que presenta la teor?a? [Recuerde que el nivel de producci?n(Q) va en el eje de abscisas(X) y las

otras variables en el eje de ordenadas(Y)]

4) Con los par?metros estimados (c, b, y a) en la primera pregunta, compute el nivel m?nimo de AVC.

5) Si la empresa fuera de ?competencia perfecta?, cu?l ser?a el precio m?nimo en que la firma podr?a operar en el corto plazo?

[1] In the data analysis, you must select residuals or residuals and the output will throw predicted AVC or estimated stroke.

[2] En el ?data analysis? tiene que seleccionar residuos o residuals y el output arrojara predicted

AVC o AVC estimado.


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