A local manufacturer is in the process of introducing a new product to all of its retailers. The manufacturer has conducted a survey of consumers, as well as performed trial runs with selected retailers, and discovered the following information about demand for the new product at various price levels: Demand for New Product
Quantity Demanded
(Number of Units) Price per Unit ($)
300 15
250 25
200 35
150 45
100 55
50 65
0 75
The manufacturer has the following information about how many units they are willing to supply to each retailer at various price levels:

Supply for New Product
Quantity Supplied
(Number of Units) Price per Unit ($)
0 7.50
50 22.50
100 37.50
150 52.50
200 67.50
250 82.50
300 97.50

At what quantity and price will both manufacturer and consumer find equilibrium? And what factors could affect the demand and supply for the new product? When using mathematical concepts to model demand and supply, what parameters must be considered? Upload and submit all steps for your project below.