Write in C Code

At the dinner of the wedding reception, Arup and his fianc$$e have decided that they will offer their guests the choice between chicken and steak for their entrees. Naturally, the chicken costs less than the steak, so Arup$$s secret desire is that everyone orders chicken so that he can pocket the extra money to buy some Dolphins tickets. Your job will be to write a program that helps him figure out the minimum number of guests who have to order chicken for the total meal cost to be at or below a particular threshold. For example, if the chicken costs $$40/$person$,$ the steak costs $$50/$person$,$ there are $200$ guests, and the designated target value was $$9059,$ then at least $95$ people must order the chicken. To see this,

note that if $95$ people order the chicken, the total cost is:

$95$ x $$40+105$ x $$50=$ $$9050,$ which is under the target.

If only $94$ people order the chicken, the cost is:

$94$ x $$40+106$ x $$50=$ $$9060,$ which exceeds our target of $$9059.$

Implementation Requirements

Loops have not yet been taught in the course. Do NOT use a loop to solve this problem. Doing

so will result in the automatic loss of $20$ points.

Input Specification

$1.$ The cost of the chicken $($in dollars$)$ will be a positive integer less than $100.$

$2.$ The cost of the steak $($in dollars$)$ will be a positive integer greater than the cost of the chicken

and less than $100.$

$3.$ The number of guests will be a positive integer greater than $10$ and less than $1000.$

$4.$ The designated target value $($in dollars$)$ will be an integer greater than the cost of all guests

ordering chicken and less than the cost of all guests ordering beef.

Output Specification

Output the minimum number of guests who must order chicken for the total cost of the meals to

be less than or equal to the designated target:

You need at least X guests to order the chicken.

where X is the number of guests in question.

Output Samples

A sample output of running the program is included below. Note that this sample is NOT a

comprehensive test. You should test your program with different data than is shown here based

on the specifications given above.

Sample Run #$1$

What is the cost of the chicken, in dollars?

$40$

What is the cost of the beef, in dollars?

$50$

How many guests will there be$?$

$200$

What is your spending limit for food, in dollars?

$9059$

You need at least $95$ guests