A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 3 and 5 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save? Pick one:
A) Per month, with savings of $(2a + 2b) B) Per month, with savings of $(2a - 2b) C) The two options would cost an equal amount. D) Per project, with savings of $(2a + 2b) E) Per project, with savings of $(2a - 2b)
Per Project, company will pay as follows:   For 3 hours work = a+2b   For 5 hours work = a+4b   Total = 2a+6b   Per Month, company will pay for 8 hours work = a+5b   Total per contract - total per month   3a+5b - (a+7b)   2a-2b   Since a&gt;b Amount 3a+5b(per contract amount) &gt; a+7b (per project amount) by 2a-2b.   Hence per month payment will be cheaper by 2a-2b .   OA Per month, with savings of $(2a - 2b)
<result>B</result>
A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 3 and 5 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?