A bakery owner knows thatcustomers buy a total of q cakeswhen the price, p, is no more30|d(q) = 252510than p = d(q) = 25dollars.1020She is willing to make and supplyP 15as many as q cakes at a price of10s(q)b.= 10 +p = s(q) = 10 +dollars each.2020The graphs of d(q) and s(q) arein the figure to the right.255075100125 150175A(c) Graph the solution set of thesystem of inequalities p < 2510'20 by placing thep > 10Ηpoint A into the area on the grid that should be shaded.Note: A point (q, p) in this region represents a quantity q of cakes that customerswould be willing to buy, and that the bakery-owner would be willing to make and sell,at the price p.(d) What is the rightmost point of the solution set from part (c)?(q,p) = (?, ?)Interpret your answer in terms of the context.The price to sell and quantity produced are equal at this point.

This is a problem related to linear inequalities. Based on the given graph and inequalities we will…

A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 d(q) = 25 10 %3D 25 than p = d(q) = 25 dollars. 10 She is willing to make and supply р 15- as many as q cakes at a price of 10 p = s(q) = 10 + dollars each. 20 s(q) = 10 + 20 %3D The graphs of d(q) and s(q) are in the figure to the right. 25 50 75 100 125 150 175 A (c) Graph the solution set of the system of inequalities p< 25 - p > 10 + by placing the 20 10' point A into the area on the grid that should be shaded. Note: A point (q, p) in this region represents a quantity q of cakes that customers would be willing to buy, and that the bakery-owner would be willing to make and sell, at the price p. (d) What is the rightmost point of the solution set from part (c)? (q, p) = | (?, ?) Interpret your answer in terms of the context. The price to sell and quantity produced are equal at this point. 20