Determine the optimum solution to the problem below. Use the Excel sensitivity report to determine how much the price per can of A$3$ needs to be increased by for it to be worthwhile for the store to sell the A$3$ brand of cola.

B&K grocery store sells three types of soft drinks: the brand names A$1$ Cola, A$2$ Cola, and the cheaper store brand BK Cola. The price per can for A$1,$ A$2,$ and BK are $80,70,$ and $60$ cents, respectively. On the average, the store sells no more than $500$ cans of all colas a day. Although A$1$ is a recognized brand name, customers tend to buy more A$2$ and BK because they are cheaper. It is estimated that at least $100$ cans of A$1$ are sold daily and that A$2$ and BK combined outsell A$1$ by a margin of at least $4$:$2.$