Please help me solve these Qs. Thank you!!

1 & 2

A rectangle is drawn as shown in the figure below. One side of the rectangle is on the y-axis and the right upper corner lies in the first quadrant on the line y = . The rectangle extends below the x-axis to the line y = -4. Answer the following: ) Write the area of the rectangle as a function of x A(x) = b) For all first quadrant points on the given line, determine the maximum area enclosed by the rectangle. (Decimals in answers are marked incorrect.) Maximum area = square units (x. y) -16.5 pointe My Not A business (Widgets, Inc) forms a linear model of its widget pricing function based on the following information: Let x represent the number of widgets sold, and p(x) the price per widget in dollars. The firm begins by selling x = 200 widgets at a set price of $70 each. After holding a "sale", the firm proposes that a $10 discount on the price will yield an increase of 20 more widgets sold. This leads to a pricing model p(x) = 70 - (1/2)(x - 200) (a) Based on the fact that the firm wants both sales and the price to be positive, what is the appropriate domain of the pricing function p(x)? Enter your answer using interval notation. domain: (b) What is the revenue function? (revenue is total sales income) R(x) = (c) What sales price p yields maximum revenue? p = dollars per widget