Al Tyra will be setting up a stall during the school fair where she plansto sell cupcakes and donuts. She wanted to find out at what price she should selleach product to maximize her profit. She asked a market researcher to help her inthis task. It was determined that at her current production capacity, each donutcosts 22 pesos to make, while each cupcake costs 25 pesos to make. On the otherhand, the market research study estimates that if a donut is to be sold at r pesosper piece, and a cupcake at y pesos per piece, then Tyra can expect to sell around(929-36x+23y) donuts and around (1159 - 31y+17x) cinnamon rolls per week.5.(a) How much should Tyra sell each piece of pastry if she wants to maximize herprofit? What is maximum profit and how many of each pastry should sheexpect to sell during the school fair? Supply all solutions and computations.(b) Since the school was celebrating its 50th founding year, Tyra decided to fix theprice of each cupcake to 50 pesos. At what price should she sell each donutso that she can still maximize her profit? What would be her maximum profitin this case?

er profit. She asked a market researcher to help her in d that at her current production capacity, each donut le each cupcake costs 25 pesos to make. On the other cudy estimates that if a donut is to be sold at r pesos y pesos per piece, then Tyra can expect to sell around d around (1159 -31y+17r) cinnamon rolls per week. sell each piece of pastry if she wants to maximize her num profit and how many of each pastry should she e school fair? Supply all solutions and computations. lebrating its 50th founding year, Tyra decided to fix the co 50 pesos. At what price should she sell each donut ximize her profit? What would be her maximum profit