You are interested in cloning a gene from the B. sanfranciscus genome, so you design PCR primers that should amplify a 1 kilobase pair (kbp) PCR product that contains the gene of interest. After amplification, you will see if the PCR was successful by loading the reaction onto an agarose gel and performing electrophoresis to see if a product of the expected size was generated. To visualize the DNA, you will stain the gel with a fluorescent dye called Sybr Green, which fluoresces when it binds to DNA. The sensitivity of Sybr Green-stained DNA is 1 nanogram (i.e. - there must be at least 1 ng of DNA in the band in the gel to emit a detectable amount of light) If your PCR reaction initially contained 10 B. sanfranciscus genomes, after how many cycles of PCR will there be a detectable amount of amplified product? You can assume: a) there is 1 copy of the gene per genome, b) the PCR occurs with perfect efficiency and therefore the amount of product doubles after each cycle, and, c) that the molecular weight of a 1 kbp molecule of DNA is 6.5 x 105 Daltons. Express your answer in the number of complete (not fractional) cycles and show your work.