A chili pepper farmer in New Mexico can grow a combination of jalapenos, habaneros, and poblanos....

  

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A chili pepper farmer in New Mexico can grow a combination of jalapenos, habaneros, and poblanos. He is endowed with 350 acres of land, 500 hours of labor, and 300 bags of fertilizer. Additionally, they have $45,000 as an operating budget (meaning they can't spend more than that prior to selling the peppers). The table below provides the relevant production information. Labor Cost Fertilizer Yields (bu'ocre) (hrs/acre) (S/acre) (bagalacre) Prices (S/bushel) Plowing (pl) 75 4. Plant jalapenos (pi) 40 110 70 Plant habaneros (ph) 45 75 .75 Plant poblanos (pp) 35 95 70 Harvest jalapenos (hj) Harvest habaneros (hh) Harvest poblanos (hp) Sell jalapenos (sj) 30 20 100 45 20 95 40 30 85 $4.00 Sell habaneros (sh) $3.00 Sell poblanos (sp) $5.00 a. Please use the table on the next page to express the LP problem. I have provided you with the decision variables, so you need to express the objective function and ALL constraints in table form. PI Pj Ph Pp Hj Hh Hp Si Sh Sp Objective RHS Constraints A chili pepper farmer in New Mexico can grow a combination of jalapenos, habaneros, and poblanos. He is endowed with 350 acres of land, 500 hours of labor, and 300 bags of fertilizer. Additionally, they have $45,000 as an operating budget (meaning they can't spend more than that prior to selling the peppers). The table below provides the relevant production information. Labor Cost Fertilizer Yields (bu'ocre) (hrs/acre) (S/acre) (bagalacre) Prices (S/bushel) Plowing (pl) 75 4. Plant jalapenos (pi) 40 110 70 Plant habaneros (ph) 45 75 .75 Plant poblanos (pp) 35 95 70 Harvest jalapenos (hj) Harvest habaneros (hh) Harvest poblanos (hp) Sell jalapenos (sj) 30 20 100 45 20 95 40 30 85 $4.00 Sell habaneros (sh) $3.00 Sell poblanos (sp) $5.00 a. Please use the table on the next page to express the LP problem. I have provided you with the decision variables, so you need to express the objective function and ALL constraints in table form. PI Pj Ph Pp Hj Hh Hp Si Sh Sp Objective RHS Constraints

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Assume that the different crops are planted according to the following variables Japapeno... View the full answer