A hotel pays a food distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?  Pick.
A) 36  B) 40  C) 45  D) 50  E) 55
d dollars = 6 pounds = 6v vats = 6vb bowls   bowl = d/(6vb).=&gt; d/(6vb) is an integer   =&gt; v and b are different primes   d/(6vb)=d/(6*2*3)=d/36   integer (d min is for min values of v and b, so for 2 and 3). Hence min value =&gt; 36.   36nswer: 36
<result>A</result>
A hotel pays a food distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?