c) Take the equation you created in part (a) and solve it for area (no numbers). d) Use your new formula from part c (above) to determine the size(area) of a room in which a light level of 60 foot-candles can be achieved with 10,000 lumens of fixtures, given that the coefficient of depreciation is 0.8 and the coefficient of utilization is 0.5 . 7. Trades Management Jo and Ellen are partners in a painting business. Because Jo is the office manager, she is to receive one-third more than Ellen when the profits are distributed. If their profit is $85,400, how much should each of them receive? 8. Construction A total of $1,120,000 is budgeted for constructing a roadway. The rule of thumb for this type of project is that the pavement costs twice the amount of the base material, and the sidewalk costs one-fourth the amount of the pavement. Using these figures, how much should each item cost? 22. Electrical Trades: Electricians use a formula that states that the level of light in a room (in foot-candles) equals the product of the total fixture rating (in lumens); the coefficient of depreciation; and the coefficient of utilization; all divided by the area (in square feet). a) State this as an algebraic equation b) Find the level of illumination for four fixtures rated at 2800 lumens each, if the coefficient of depreciation is 0.75 , the coefficient of utilization is 0.6 , and the area of the room is 120 square feet. 26. Automotive Trades A couple owns two cars: an electric car and a gas-powered car. The gas-powered car averages 25 miles per gallon, and gas currently costs $2.50 per gallon. To charge the electric car, they first paid $1000 to have a home charger installed and then paid about $0.05 per mile in electricity costs. After how many miles of driving would the electric car save money compared to the gas-powered car if both were driven equally? 40. HVAC In designing a new home, a resident is considering either a ground-source heat pump (GSHP) or a gas fumace with separate air conditioner. Assume the following: - The installation cost of the furnace is $6200. - The installation cost of the GSHP is $11,800. - The estimaled annual cost of the furnace is $1245. - The estimated annual cost of the GSHP is $1020. What is the payback time for selecting the GSHP over the gas fumace? (Round up to the next whole number.) Hint: the payback time is the number of years needed for the costs to be equal