# Calculating arc elasticity of demand and optimal price

Please help with the following problem:

Stinging Pesticides, Inc., provides scorpion control services, to residential and business customers in the El Paso area. The company recently raised its service price from $70 to $80 per annual treatment. As a result, sales fell to 37,500 from 52,500 treatments in the year earlier period.

A. Calculate the arc price elasticity of demand for SPI service.

B. Assume that the arc price elasticity (from Part A) is the best available estimate of the point price elasticity of demand. If marginal cost is $48 per unit for labor and materials, calculate SPI's optimal markup on price and its optimal price.

https://brainmass.com/business/finance/calculating-arc-elasticity-demand-optimal-price-390418

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Please refer attached file for complete solution. Expressions typed with the help of equation writer are missing here.

A. Calculate the arc price elasticity of demand for SPI service.

Initial ...

#### Solution Summary

This solution describes the steps to calculate arc elasticity of demand and optimal price of the given service. Additionally, the solution is provided in Word format for the student's convenience.