(Solved): there  unit will remain vacant for each 5 dallar increase in rent' Sim lariy, one addibons uni ...

unit will remain vacant for each 5 dallar increase in rent' Sim lariy, one addibons unie will be ocn.pied for each 5 dolar kecrease in rent. (a) If \( x \) is the number of units rented, and \( \rho \) is the rent per unit in doilars, what is the prise-demand equation (ostaring is is inearf? \( \rho= \) (b) What is the monthly revemue function for the manager? (Hitt Reverwe is the preduct of the price per item and the number of it-wis \[ f(x)= \] (c) How many apartment units should be rented to manimite the monthly revenue? aparoment unter (d) What is the maximum monthly ruvenue fee the mariager? 1 What (e) Wate rant (in doliars per unit) should the marsper charge to masimuze the imenthy revenue? deliars per unit unit will remain vacant for each 5 dollar Increase in rent. Simitarly, one additional unit will be occupled for each 5 dollar decrease in rent. (a) If \( x \) is the number of units rented, and \( p \) is the rent per unit in bollars, whist is the price-demand equation (assuming is is tinearr? \[ p= \] (b) What is the monthly revenue function for the manager? (Hint: Revenoe is the product of the price per item and the number of iteris.) \[ R(x)= \] (c) How mamy apartment units shauld be rented to maximize the monthly revenue? apartment units (d) What is the makimum monthly revenoe foe the manager? (e) What rent (in daliars per unit) should the manager charge to maximize the monkhly revenue? dotiars per unit