Roundup Concentrate $($glyphosate; $4\mathrm{.}5lbs.$ ae$/$gallon$)$ to $$50$ per gallon. You need the Roundup to spray your glyphosate$-$resistant corn $(200$ acres$)$ and get rid of the common cocklebur that has emerged. Your rate of glyphosate is $0\mathrm{.}90lbs.$ ae$/$A and you have on hand $5$ gallons of Roundup Concentrate.

a$.$ How many gallons of Roundup Concentrate $($round up to the nearest gallon$)$ will you need to buy to spray the $200$ acres? $(3$ points$)$

b$.$ You need to buy some new nozzles for the sprayer and want to determine what nozzle tips you may need. Your tractor sprayer operates best at $7mph$ with a spray volume of $14$ gpa. Your sprayer has nozzle tips spaced at $20$ inches. What is the theoretical output of each tip in gallons per minute