Your company produces headbands and wristbands for athletes. Each can be either all cotton or a mix of cotton and $10\%$ spandex. You have promised local retailers to supply a minimum of $200$ all cotton headbands, $160$ blended headbands, $300$ all cotton wristbands, and $140$ blended wristbands. Headbands sell for $$14\mathrm{.}99$ each and wristbands sell for $$9\mathrm{.}99$ each, regardless of the resources used to make them. Your fabric supplier has $90$ yards of cotton which is $$6\mathrm{.}25/$ yard and $20$ yards of spandex which is $$8\mathrm{.}90/$ yard. A headband requires $\mathrm{.}15$ yards of fabric, and a wristband requires $\mathrm{.}08$ yards of fabric. Your goal is to find the production plan that will maximize your profit. Of the two resources, which one$($s$)$ would you want to acquire more of$,$ if you could? What would be the maximum price you would be willing to pay for an additional yard of Cotton, and for an additional yard of Spandex $?$ Suppose you can buy extra Cotton at $18/$yard$,$ and extra Spandex at $$12/$yard$.$ How many extra yards would you purchase of each resource, and what would be the impact on your total profit?