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The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow honeydews, yellow onjons, and lettuce is given by the table to the right. Complete parts a and b. OA. Yes, the farmer should allot acres for honeydew, B. No, it is not possible to use all resources completely. a) If the farmer has 230 acres, 30,300 lb of nitrogen, 34,400 lb of phosphate, and 400 hours of labor, is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. for yellow onions, and acres for lettuce. A. Yes, the farmer should allot acres for honeydew, OB. No, it is not possible to use all resources completely. Honeydews 120 Nitrogen Phosphate 180 Labor 5 Yellow onions 150 80 6 acres for lettuce. Lettuce 180 80 4 b) Suppose everything is the same as in part a, except that 1180 hours of labor are available. Is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. acres for yellow onions, and

The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow honeydews, yellow onjons, and lettuce is given by the table to the right. Complete parts a and b. OA. Yes, the farmer should allot acres for honeydew, B. No, it is not possible to use all resources completely. a) If the farmer has 230 acres, 30,300 lb of nitrogen, 34,400 lb of phosphate, and 400 hours of labor, is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. for yellow onions, and acres for lettuce. A. Yes, the farmer should allot acres for honeydew, OB. No, it is not possible to use all resources completely. Honeydews 120 Nitrogen Phosphate 180 Labor 5 Yellow onions 150 80 6 acres for lettuce. Lettuce 180 80 4 b) Suppose everything is the same as in part a, except that 1180 hours of labor are available. Is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. acres for yellow onions, and

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Resource Allocation for Crop Cultivation** The following problem explores how to allocate resources efficiently for growing three types of crops: honeydews, yellow onions, and lettuce. The resources considered are nitrogen, phosphate, and labor. **Resource Requirements Table:** | | Honeydews | Yellow Onions | Lettuce | |-------------------|-----------|---------------|---------| | **Nitrogen (lb/acre)** | 120 | 150 | 180 | | **Phosphate (lb/acre)**| 180 | 80 | 80 | | **Labor (hr/acre)** | 5 | 6 | 4 | **Scenario A:** - **Available Resources:** - Acres: 230 - Nitrogen: 30,300 lb - Phosphate: 34,400 lb - Labor: 400 hours *Question:* Is it possible to use all resources completely? If so, how many acres should be allocated for each crop? - **Choices:** - **A.** Yes, the farmer should allot ____ acres for honeydew, ____ for yellow onions, and ____ acres for lettuce. - **B.** No, it is not possible to use all resources completely. *(This option is selected.)* **Scenario B:** - **Available Resources:** - (Same as Scenario A except for labor) - Labor: 1180 hours *Question:* Is it possible to use all resources completely? If so, how many acres should be allocated for each crop? - **Choices:** - **A.** Yes, the farmer should allot ____ acres for honeydew, ____ acres for yellow onions, and ____ acres for lettuce. *(This option is selected.)* - **B.** No, it is not possible to use all resources completely. This exercise demonstrates the importance of balancing multiple limiting factors in agricultural planning.
Transcribed Image Text:**Resource Allocation for Crop Cultivation** The following problem explores how to allocate resources efficiently for growing three types of crops: honeydews, yellow onions, and lettuce. The resources considered are nitrogen, phosphate, and labor. **Resource Requirements Table:** | | Honeydews | Yellow Onions | Lettuce | |-------------------|-----------|---------------|---------| | **Nitrogen (lb/acre)** | 120 | 150 | 180 | | **Phosphate (lb/acre)**| 180 | 80 | 80 | | **Labor (hr/acre)** | 5 | 6 | 4 | **Scenario A:** - **Available Resources:** - Acres: 230 - Nitrogen: 30,300 lb - Phosphate: 34,400 lb - Labor: 400 hours *Question:* Is it possible to use all resources completely? If so, how many acres should be allocated for each crop? - **Choices:** - **A.** Yes, the farmer should allot ____ acres for honeydew, ____ for yellow onions, and ____ acres for lettuce. - **B.** No, it is not possible to use all resources completely. *(This option is selected.)* **Scenario B:** - **Available Resources:** - (Same as Scenario A except for labor) - Labor: 1180 hours *Question:* Is it possible to use all resources completely? If so, how many acres should be allocated for each crop? - **Choices:** - **A.** Yes, the farmer should allot ____ acres for honeydew, ____ acres for yellow onions, and ____ acres for lettuce. *(This option is selected.)* - **B.** No, it is not possible to use all resources completely. This exercise demonstrates the importance of balancing multiple limiting factors in agricultural planning.
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