According to the law of diminishing marginal utility:

a. you should never consume more of something if your marginal utility is decreasing.
b. if your total utility is increasing as you consume more of something, then your marginal utility must be increasing as well.
c. as you consume less of something, your marginal utility from consuming that good will increase.
d. as you consume less of something, your total utility will decrease.

Carmen co. can further process product j to produce product d. product j is currently selling for $20 per pound and costs $15.75 per pound to produce. product d would sell for $38 per pound and would require an additional cost of $8.55 per pound to produce. what is the differential revenue of producing product d?

1. alwaysrain irrigation, inc. would like to determine capacity requirements for the next four years. currently, two production lines are in place for making bronze and plastic sprinklers. three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. management has forecast demand for the next four years as follows: both production lines can produce all the different types of nozzles. the bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. the plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. three bronze machines and only one injection molding machine are available. what are the capacity requirements for the next four years? (assume that there is no learning.)

Imprudential, inc., has an unfunded pension liability of $572 million that must be paid in 25 years. to assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. if the relevant discount rate is 6.5 percent, what is the present value of this liability? (do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e. g., 1,234,567.89)