Yaseen is a local artist who wants to increase the amount of money she earns every month by selling at-home painting kits. These kits will include a photograph of the finished painting, a link and password to Yaseen's YouTube channel where she will provide detailed instructions and a step-by-step demonstration of how to create the painting. The kit also contains the canvas, and all the paints the buyer will need. Yaseen will make a new kit for sale each month. Yaseen estimates that the monthly demand for her painting kits can be modeled by the function ?(?) = 0.02(?− 100)^2, where 0 ≤ ? ≤ 85. The number of kits that Yaseen can supply each month is modeled by the function ?(?) = 0.01?^2 + 0.5?, where 0 ≤ ? ≤ 100. The value of x represents the quantity of kits and the output of each function is the price.

1)Use algebraic methods to find where Yaseen's demand and supply functions intersect. What does this point(s) represent in context of this problem? Show all your work.

2)Confirm your answer from question 7 by using Desmos to create a graph that shows both ?(?) and ?(?) with their domain restrictions.

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