Based on Angel et al. (2003). A fertilizer company is trying to determine the cheapest fertilizer mix that provides desired amounts of nutrients. The mix is made by combining the following fertilizers: SSA, SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage of potassium (K), sulfur (S), calcium (Ca), sodium (Na) and phosphorus (P) in each fertilizer is listed in the file P06_88.xlsx. For example, a pound of SSA is 16% K and 26% Na. The mix must contain at least 600 pounds of K, 550 pounds of S, 750 pounds of Ca, 900 pounds of Na, and 750 pounds of P. The mix cannot contain both GUR and TSP, because if both are present in the mix, the affect of other fertilizers is nullified. The cost per pound (in cents) of each fertilizer is listed in the same file. Develop a linear integer model to find the minimum-cost fertilizer mixture that meets the stated chemical requirements.

Based on Angel et al. (2003). A fertilizer company is trying to determine the cheapest fertilizer mix that provides desired amounts of nutrients. The mix is made by combining the following fertilizers: SSA, SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage of potassium (K), sulfur (S), calcium (Ca), sodium (Na) and phosphorus (P) in each fertilizer is listed in the file P06_88.xlsx. For example, a pound of SSA is 16% K and 26% Na. The mix must contain at least 600 pounds of K, 550 pounds of S, 750 pounds of Ca, 900 pounds of Na, and 750 pounds of P. The mix cannot contain both GUR and TSP, because if both are present in the mix, the affect of other fertilizers is nullified. The cost per pound (in cents) of each fertilizer is listed in the same file. Develop a linear integer model to find the minimum-cost fertilizer mixture that meets the stated chemical requirements.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...

See similar textbooks

Similar questions

Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
The spotted lanternfly, Lycorma delicatula, is an invasive species to the United States that has the potential to do significant agricultural damage. An ecologist is studying the relationship between the size of the female spotted lanternflies and the number of eggs they produce. The data are summarized below. Length of insect: AVG = 1 inch, SD = 0.15 inchNumber of eggs: AVG = 40 eggs, SD = 5 eggsr = 0.2 Using regression, we can say that the average number of eggs produced by female spotted lanternflies who are 1.1 inch long is closest to... Group of answer choices 42 39 40 41
Select two different ways to state that the means of two populations have no difference. H0 : =−μ1μ20 H0 : >μ1μ2 H0 : =μ1μ2 H0 : ≠μ1μ2
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Show solution, do not use excel 1. A study was conducted to compare three methods of measuring concentration of certain type of chemical pollutants in a lake. The data is given in Table 1 below. a. Compute SS(between) and SS(within). b. Compute SS(total), and explain the relationship between SS(between), SS(within), and SS(total). c. Compute MS(between), MS(within), and F statistic. d. Based on your computations, are there significant differences in the mean pollutant concentrations among the three methods? Table 1. Amount of concentration of a chemical pollutant in a lake using three different measuring methods Method 1 Method 2 Method 3 10.96 10.88 10.73 10.75 10.80 10.77 10.79 10.90 10.78 10.82 10.69 10.81 10.87 10.70 10.88 10.6 10.82 10.81
Maple syrup is a non-negligible nutritional source of manganese. It is made from the sap of two species of maple: the sugar maple and the black maple. To see if there is a significant difference between the manganese content of these two species of maple, we measured the manganese content (in mg per 100g syrup) for a sample of sugar maples and a sample of black maples. The data is summarized by the Minitab output below: Two-sample T for Sugar Maple Black Maple group N Mean St Dev SE Mean Sugar Maple 20 Black Maple 12 3.55 0.29 Find: (i) a point estimate for ₁-2, where ₁ and 2 are the average manganese contents of the sugar maple, respectively the black maple; (ii) the standard error of X₁ - X₂. A) (i) -0.07; (ii) 0.101 C) (i) -0.26; (ii) 0.097 E) (i) -0.07; (ii) 0.035 3.29 0.22 0.049 0.084 B) (i) -0.26; (ii) 0.188 D) (i) -0.26; (ii) 0.101
For each of the questions 1-4, answer the following (a-h are steps in a Hypothesis Test, see page 376 of your ebook). For steps f and g do both the p-value method and the critical value method: a) Claim in English: b) Claim in Symbolic Form: c) Null and Alternate Hypothesis: d) Significance Level: e) Test Statistic: f) Find Values: g) Make a Decision: h) Restate the Decision in Nontechnical Terms: i) If this is a statistically significant result, is it also a practically significant result?
An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 1. Find the simple regression line and interpret the coefficients. 2. Find the coefficient of determination and interpret its value. 3. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.
An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.
The owner of a new car conducts a series of six gas mileage tests and obtains the following results, expressed in miles per gallon: 3., 22.7, 21.4, 20.6, and 21.4. 20.9. Find the mode for these data.
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150
A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, "Participants in our program lose more than 2 pounds within a month." Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) TTT Weight on Weight One First Day of Diet Month Client Later 1 163 161 2 204 196 3 191 189 4 206 178 171 162 153 136 B Click here for the Excel Data File Let the difference be defined as Before - After. a. Specify the null and alternative hypotheses that test the diet center's claim. Ho: uD = 2; HA: up * 2 Ho: up 2 2; HA: up 2 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic