please complete part D for bothThank you The owner of an apartment building can rent all 60 apartments if she charges $1,600 per month, but she rents one fewer apartment for each $50 increase in monthly rent.(a) Construct a table that gives the revenue generated if she charges $1,600, $1,650, and $1,700.No. of Apts605958Rent Total Revenue$ 96000$ 97350$986000$1,600$1,650$1,700(b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,600 to $1,700?o revenue increasesO revenue decreases(c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent.R(x) = -50x² - +1400x + 96000(d) Find the rent she should charge to maximize her revenue.$per month Suppose a company has fixed costs of $36,000 and variable cost per unit of x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452 -fx(a) Form the cost function and revenue function (in dollars).2C(x) = 13x² + 222x + 36000R(x) = 1452x - 23x²Find the break-even points. (Enter your answers as a comma-separated list.)x = 1200,30(b) Find the vertex of the revenue function.(x, y) =1089,790614Identify the maximum revenue.$ 1089(c) Form the profit function from the cost and revenue functions (in dollars).x² +1230x - 36000P(x) =Find the vertex of the profit function.(x, y) =615,342225Identify the maximum profit.$ 342225(d) What price will maximize the profit?$3x-x dollars per unit.

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The owner of an apartment building can rent all 60 apartments if she charges $1,600 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,600, $1,650, and $1,700. Rent | Total Revenue $1,600 $ 96000 $1,650 $97350 $1,700 $ 986000 No. of Apts 60 59 58 (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,600 to $1,700? o revenue increases O revenue decreases (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +1400x +96000 (d) Find the rent she should charge to maximize her revenue. $ per month