A local department store is having a BoGoHo (Buy One, Get One Half Off) sale. The store manager wants a program that allows the salesclerk to enter the prices of two items. The program should calculate and display the total amount the customer owes. The half-off should always be taken on the item having the lowest price. For example, if the items cost $24.99 and $10, the half-off would be taken on the $10 item. If both prices are the same, take the half-off on the second item. 

a. Create an IPO chart for the problem, and then desk-check the algorithm twice. For the first desk-check, use 24.99 and 10 as the prices. For the second desk-check, use 11.50 and 30.99. 

b. List the input, processing, and output items, as well as the algorithm, in a chart similar to the one shown earlier in Figure 5-27. Then code the algorithm into a program. 

c. Desk-check the program using the same data used to desk-check the algorithm. 

d. If necessary, create a new project named Introductory12 Project, and save it in the Cpp8\Chap05 folder. Enter your C++ instructions into a source file named Introductory12.cpp. Also enter appropriate comments and any additional instructions required by the compiler. Display the total amount owed in fixed-point notation with two decimal places. Test the program using the same data used to desk-check the program. 

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IPO chart information C++ instructions Input discount rate (10%) shipping rate 1 (0.99) shipping rate 2 (4.99) amount owed member status (Y or N) const double DISCOUNT RATE = 0.1; const double SHIP_CHG1 = 0.99; const double SHIP CHG2 - 4.99; double amtOwed = 0.0; char member = '; Processing none Output uses the amtowed variable declared above amount owed Algorithm: 1. enter amount owed and member status cout « "Amount owed before any discount and shipping: "; cin >> amtOwed; cout <« "Premier Club member (Y/N)? "; cin > member; 2. if (member status is Y) calculate amount owed by multiplying amount owed by discount rate and then subtracting the result from amount owed end if 3. if (amount owed >= 100) add shipping rate i to amount owed else if (toupper (member) 'Y') amtOwed -- amtOwed * DISCOUNT_RATE; //end if if (amtOwed >= 100.0) amtowed + SHIP_CHG1; else add shipping rate 2 to amount owed end if amtOwed += SHIP CHG2; //end if cout « fixed « setprecision (2); cout « "Amount owed after any discount and shipping:" <« amtOwed « endl; 4. display amount owed Figure 5-27 IPO chart information and C++ instructions for the Heaton Boutique problem