PROBLEM $1$ Using Pearson Square, balance a diet for a gestating mare $($first $3$ months gestation$)$ on the basis of CP$.$ Use a mixture of $85\%$ oats and $15\%$ wheat for the feed grains, and alfalfa hay as the forage. Make a $100$ lb batch of this ration. Calculate the Ca and P in the diet. Use dicalcium phosphate and limestone as the calcium and phosphorus sources, to balance for Ca and P requirements. Allow a $3\%$ dilution factor for the vitamin and mineral ingredients. Use the requirements and feed compositions given below. Animal Requirements $($As$-$Fed Basis$)$ CP$,\%$ Ca$,\%$ P$,\%140\mathrm{.}510\mathrm{.}42$ Feedstuff Composition $($As$-$Fed Basis$)$ Ingredient DM$,\%$ CP$,\%$ Ca$,\%$ P$,\%$ $$/$ton Oats $8811\mathrm{.}50\mathrm{.}090\mathrm{.}30$ $$240$ Wheat $8514\mathrm{.}50\mathrm{.}060\mathrm{.}22$ $$255$ Alfalfa Hay $8217\mathrm{.}10\mathrm{.}500\mathrm{.}10$ $$205$ Dicalcium Phosphate $97---22\mathrm{.}018\mathrm{.}5---$ Limestone $100---39\mathrm{.}0------$ Step $1$: Calculate the nutrients in the oat$-$wheat mixture.Step $2$: Calculate the new protein requirement based on the dilution factor. Step $3$: Complete your Pearson Square. Step $4$: Multiply your values from Step $3$ to account for the $3\%$ dilution factor.Step $5$: Using the value you calculated for the mixture in step $4,$ calculate how many pounds of wheat and how many pounds of oats will be in the ration. Step $6$: Check your work and check for Ca and P deficiencies.Step $7$: Add dicalcium phosphate and limestone as needed. Step $8$: Check your final ration:Step $9$: Convert your final amounts $($lbs$)$ to Dry Matter Basis: Oats: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ lbs Wheat: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ lbs Alfalfa Hay: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ lbs Dicalcium Phosphate: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ lbs Limestone: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ lbs Step $10$: Calculate the cost$/$lb CP in each ingredient: Oats: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$$$/$lb CP Wheat: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ $$/$lb CP Alfalfa Hay: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ $$/$lb CP Which feed ingredient provides the cheapest source of protein? $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$