# Finite Math: Supply and Demand and Cost Function

2) Supply and Demand. Let the supply and demand functions for sugar be given by

p = S(q) = 1.4q - .6 and

p = D(q) = -2q + 3.2,

where p is the price per pound and q in the quantity in thousands of pounds.

a. Graph these on the same axes.

b. Find the equilibrium quantity and the equilibrium price.

3) Publishing Cost. Enrique Gonzales owns a small publishing house specializing in Latin American poetry. His fixed cost to produce a typical poetry volume is $525, and his total cost to produce 1000 copies of the book is $2675. His books sell for $4.95 each.

a. Find the linear cost function for Enrique's book production.

b. How many poetry books must he produce and sell in order to break even?

https://brainmass.com/math/discrete-math/finite-math-supply-demand-cost-function-5456

#### Solution Preview

a)refer to the attachment

b) from the system:

p = 1.4q - 0.6 (1)

p = -2q + 3.2 (2)

(1)-(2): 0 = 3.4q-3.8 or q*=1.12 (thousand ...

#### Solution Summary

A Supply and Demand and Cost Function are solved.