Question $7$

Starbright Coffee Shop serves two coffee blends: Heartland and Coastal. Heartland sells for $$3\mathrm{.}00,$ and Coastal sells for $$2\mathrm{.}50.$

Each blend is a combination of three high$-$quality coffees from Colombia, Kenya, and Indonesia.

The coffee shop could have $5$ pounds of coffee from each country available each day. Each pound of coffee will produce $20$ mugs of coffee.

The shop has enough brewing capacity to brew $30$ gallons of coffee each day. Note: One gallon contains $8$ mugs.

Heartland is a blend of $80\%$ Colombian, $10\%$ Kenyan, and $10\%$ Indonesian.

Coastal is a blend of $50\%$ Colombian, $20\%$ Kenyan, and $30\%$ Indonesian.

The shop sells $1\mathrm{.}5$ times more Coastal than Heartland each day.

The manager wants to know how many mugs of each blend to sell each day to maximize sales.

a$)$ List the constaints in the table to the left. You may also list them

below if that's helpful for you.

c$)$ Use Excel's Solver to find the solution.

b$)$ Graph the constaints in

desmos.com and save as a $.$png file. $($Hit Share, Export Image, Save.$)$ Attach it as a

separate file in Blackbaord, or include it in this Excel file. Graph must be zoomed in so I can see all of the

details of where the constraints intersect the axes.