TASK 2: Lodge Profits After a long day on the slopes, the skiers/snowboarders like to relax in the lodge with some food and a beverage. Help the Slopey Mountain Lodge manager calculate some scenarios 1) In order to make deliciously warm cappuccinos, the lodge must purchase a cappuccino machine for $500. If the lodge charges $5 for a cappuccino a) Write a linear equation to represent the lodge’s profit (P) for “x” number of cappuccinos.. b) Graph the linear equation that would represent the lodge’s profit for “x” number of cappuccinos. What do the numbers on the x-axis represent? What do the numbers on the y-axis represent? According to your graph, after how many cappuccinos does the lodge break even (reach $0)? c) Use your equation to calculate the lodges profit after selling 300 cappuccinos? d) Use your equation to calculate how many cappuccinos the lodge must sell to make a profit of $1,650