T-Shirt Profit   Two fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda vs. Alien T-shirts in the student center, but are not sure how much to charge. Sig Ep treasurer Augustus recalls that they once sold 150 shirts in a week at $7 per shirt, but Ep Sig treasurer Julius has solid research indicating that it is possible to sell 350 per week at $3 per shirt.(a)On the basis of this information, construct a linear demand equation for Yoda vs. Alien T-shirts. Hence obtain the weekly revenue R as a function of the unit price x.R(x) = (b)The university administration charges the fraternities a weekly fee of $200 for use of the student center. Write down the weekly profit P as a function of the unit price x.P(x) = Determine how much the fraternities should charge (in dollars per T-shirt) to obtain the largest possible weekly profit.x = $ per T-shirtWhat is the largest possible weekly profit (in dollars)?$

The school athletics department is raising money for new gym equipment. To raise $7,200 by spring training, the department decides to sell T-shirts during the fall semester. Based on previous fundraising drives, the expression –10p+560 can be used to gauge how many shirts the department will sell depending on the price of a shirt, p.What is the lowest shirt price the athletics department can use to raise exactly $7,200 in revenue?

The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?The student council needs to sell T-shirts to break even. At that point, they will have incurred $ in costs and collected the same amount in sales.Submit

Calculate the selling price of a t-shirt for $6565 once 1010% GST is added to it.

Cool Cat's is able to buy a style of t-shirt at $9.99$9.99 with $1.56$1.56 for transport costs and $5.12$5.12 for import costs (all per shirt) from a supplier in China and then sell it on to the public for $68.49$68.49 each. What is the profit Cool cats is making off of each t-shirt sale? Write appropriate units with your answer.

Tabitha’s Trendy T-shirts is a local clothing seller in a small town. The business sells shirts at its main store in town and in a local museum gift shop. Tabitha’s knows that local residents typically shop in the main store, while tourists from out of town are most likely to shop at the museum gift shop.The demand for shirts in the two locations is given by the table below:PricePer UnitQuantity Demanded(Main Store)Quantity Demanded(Gift Shop)$49.501$4412$38.523$3344$27.585$22146$16.5227$11338 Suppose that Tabitha's has not fixed costs and can produce produce and sell shirts in either location at a marginal cost of $13.75.Note: Do not include a "$" in your answers.If Tabitha's must charge the same price for all of its shirts, how much should it charge to maximise its profits?Answer for part 1What would Tabitha's profits from selling shirts in this scenario?Answer for part 2If Tabitha's can charge different prices in different locations, how much should it charge for shirts in its main store?