Consider a scenario where the demand is estimated to be represented by the following equation: ,
qx = 1000 - 10px + 0.1i + 10py
where px is the price of x, i represents the income of the consumer, py is the price of another related in consumption good, and qx is the quantity demanded of x. based on this, what can be concluded about the relationship between good x and y?
a), they are substitutes in consumption
b), they are complements in consumption
c), they are unrelated in consumption
d), there is not enough information provided to make any conclusion

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)