Obiectives: A shopping mall management company handles, say, 50 units in a famous shopping center (shopping mall). You are hired to help the leasing director maximizing the profit. When the rent is, say, $6000 per month, all the units are occupied. However, for each, say. S$400 increase in rent, one unit becomes vacant. Moreover, each occupied unit requires an average of $270 per month for maintenance. Assumes that empty units have no maintenance cost. How many units should be rented to maximize the profit? Write an algorithm and a C+program that prompts the user to enter The total number of units. The rent to occupy all the units. . The increase in rent that results in a vacant unit. e Amount to maintain a rented unit. The program then outputs the following: Number of units to be rented to maximize the profit. Adjusted rent per unit (new rent per unit) .The maximum profit. Hints: .You will need to use a loop to calculate the profit in the following cases: o when the company rents 1 unit, o when the company rents 2 units o when the company rents 3 units, o and when the company rents all the units .You can use the following equations to calculate the profit: Vacant Units Number of Units-number of Rented Units Tolal Rent Increase Rent Increase Vacant Units Adjusted Rent Per Unit Rent Per Unit +Total Rent Increase Total Rent Number of Rented Units Adjusted Rent Per Unit Total Maintenance Expenses Niumber of Rented Units Maintenance Expenses Per Rented Un profit Total Rent - Total Maintenance Expenses output the maximum profit, the adjusted rent per unit, and the number of rented units in this case