Since meat is higher on the food chain than grains, the more calories you get from meat, the more agricultural land you use. Using the arable land area in your state and data from [30] (which concludes that 5.6 GJ metabolized energy is produced annually per hectare for meat and that \(41.4 \mathrm{GJ}\) of metabolized energy is produced annually per hectare for gain), estimate

a. How many vegetarians could you feed with land available in your state? Determine this as a number (percentage of 2011 population) and percentage of estimated population in 2030.

b. Repeat this estimate for the average American diet (the typical American gets two-thirds of his or her calories from meat and one-third from grain).