A certain company plans to sell Product X for p dollars per unit, where p is randomly chosen from all possible positive values not greater than 100. The monthly manufacturing cost for Product X (in thousands of dollars) is 12 - p, and the projected monthly revenue from Product X (in thousands of dollars) is p(6 - p). If the projected revenue is realized, what is the probability that the company will NOT see a profit on sales of Product X in the first month of sales?  Choose the most appropriate option:	A) 0	B) 1/100	C) 1/25	D) 99/100	E) 1
Profit=Revenue-Cost=p(6 - p)-(12-p).   Let's see for which range of p company will see a profit on sales, so for which range of p the following holds true: p(6−p)−(12−p)&gt;0 --&gt; 6p−p2−12+p&gt;0 --&gt; p2−7p+12&lt;0 --&gt; (p−4)(p−3)&lt;0 --&gt; 3&lt;p&lt;4. So the probability that company will see a profit on sales is 1100 (1 unit range of p out of 100).   The probability that the company will NOT see a profit on sales is 1−1100=99100.   Answer: 99/100.
<result>D</result>
A certain company plans to sell Product X for p dollars per unit, where p is randomly chosen from all possible positive values not greater than 100. The monthly manufacturing cost for Product X (in thousands of dollars) is 12 - p, and the projected monthly revenue from Product X (in thousands of dollars) is p(6 - p). If the projected revenue is realized, what is the probability that the company will NOT see a profit on sales of Product X in the first month of sales?