Suppose a sunglass manufacturer determines the demand function for a certain line of sunglasses is given by p=50-(1/4000)x, where p is the price per pair and x is the number of pairs sold.The fixed cost of producing a line of sunglasses is $25,000 and each pair of sunglassescosts$3tomake.Howmanysunglassesshouldbeproducedtomaximize profit?

a) 100,000 sunglasses

b) 87,000 sunglasses

c) 94,000 sunglasses

d) 200,000 sunglasses

e) 188,000 sunglasses