Where:Y $=$ forage production in tons$/$acx $=$ seeding rate in lbs$/$ac Assume you can purchase seed in $20$lb bags at a cost of $$40/$bag$.$ You value your forage at $$150/$ton $*$Hint: Be careful with your units on prices and units in the production function. a$.$ If you were to seed at $7\mathrm{.}75$ lbs$/$ac$,$ what is the imputed value $($aka shadow price$)?$ Interpret in words $($as if you were writing an article for Hay and Forage$)$ what that means to a producer. $7$ pts b$.$ If we were to seed at $5\mathrm{.}36$ lbs$/$ac$,$ what is the imputed value? What stage of production would be you be in at that seeding rate? $3$ pts c$.$ If we were to seed at $14\mathrm{.}1$ lbs$/$ac$,$ what is the imputed value? What stage of production would be you be in at that seeding rate? $3$ pts