4ft (w) x 3 ft(d) box concrete culverts (n=0.013, entrance has 90-degree and 15-degree wingwall flares) carry 150 cfs along a 31-m length of pipe constructed at 1.0 % slope. the tailwater depth is 2 ft.

(a) what is the headwater depth?
(b) are the culverts flowing under inlet or outlet control conditions?
(c) what would the headwater depth and flow regime for a flow rate of 190 cfs?

Susie buys two goods - rounds of golf and massages. suppose that the price of a round of golf is $20, and the price of a massage is $30. in a typical week susie will play two rounds of golf, getting 20 units of satisfaction from the second round. she normally buys three massages each week, with the third giving her 30 units of satisfaction. if she were to buy a fourth massage in a week, it would give her 20 units of satisfaction. if the price of massages is reduced to $15, which of the following outcomes might we expect to occur? a) susie would leave her consumption choices unchanged because of diminishing marginal utility in the consumption of massages. b) susie would buy more massages and more rounds of golf, as predicted by the substituion effect. c) susie would buy more massages and fewer rounds of golf, as predicted by the substitution effect. d) susie would buy more massage and fewer rounds of golf, as predicted by income effect.