Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 64 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 62 g of fat. How many grams of fat does 1 scoop of each type of ice cream have? Part 1 of 2 Cherry has g of fat. X Part 2 of 2 Mint Chocolate Chunk has g of fat. XThe average of an electrician's hourly wage and a plumber's hourly wage is $35. One day a contractor hires an electrician for 8hr of work and the plumber for 6hr of work and pays a total of $510 in wages. Find the hourly wage for the electrician and for the plumber. Part 1 of 2 The electrician makes $ /hr. X 5 Part 2 of 2 The plumber makes $ /hr. X 5A cleaning company charges $ 100 for each office it cleans. The fixed monthly cost of $480 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $60 per office and includes labor, gasoline, and cleaning supplies. (a) Write a linear cost function representing the cost C (x) (in $) to clean x offices per month. (b) Write a linear revenue function representing the revenue R (x) (in $) for cleaning x offices per month. (c) Determine the number of offices to be cleaned per month for the company to break even. (d) If 18 offices are cleaned, will the company make money or lose money?A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $ 140 to set up his booth. Furthermore, the vendor's average cost for each product he produces is approximately $0.25. (a) Write a linear cost function representing the cost C (x) (in $) to the vendor to produce x products. (b) Write a linear revenue function representing the revenue R (x) (in $) for selling x products. (c) Determine the number of products to be produced and sold for the vendor to break even. (d) If 60 products are sold, will the vendor make money or lose money?The price (in $) of a cookbook is determined by the number of cookbooks x demanded by consumers and supplied by the publisher. Supply: p = 0.005x Demand: p = -0.007x+ 120 (a) Solve the system of equations defined by the supply and demand models. (b) What is the equilibrium price? (c) What is the equilibrium quantity