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To grow a certain vegetable crop, a farmer needs to ensure that there is a sufficient concentration of the macro-nutrients nitrogen, phosphorus and potassium in her soil. To achieve this she will apply two types of fertiliser to her soil, Fertiliser 1 and Fertiliser 2. She needs to have at least 36 units of nitrogen, at least 20 units of phosphorus and no more than 28 units of potassium present in the fertiliser that she applies to her soil. The composition of macro-nutrients in each of the two types of fertilisers is described in the following table.
Fertiliser 1 Fertiliser 2
Nitrogen (units/kg) 9 2
Phosphorus (units/kg) 2 6
Potassium (units/kg) 4 5
Fertiliser 1 costs $20/kg while Fertiliser 2 costs $15/kg. The farmer wants to know how many bags of each type of fertiliser should be used to minimise the cost.
Formulate the problem above as an optimisation problem, don't solve it .
the age distribution of students at a community college is given belowage in yearsnumber of studentsnbsp fundernbsp
A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of
1. What lessons does Eclipse's failure have for entrepreneurs who are studying the industry or industries they are about to enter?
a company has an order to produce 25 specially designed safes for a bank.nbsp it is estimated that the first safe will
In y = mx + b, which value is the slope and which is the y intercept?
Explain how you would use your break even point and the information you know to find the cheaper option before and after the break even point. Do NOT explain how to plug in values to find the cheaper option.
1. Explain the geometric sense of a linear system in two variables. Describe the possible cases. 2. Geometric sense of a linear system of inequalities in two variables.
Conduct research on an article in regards to human factors associated with aviation safety. Summarize the article, explain and correlate the relevancy of the article to the module and, of course, have the proper citation.
Systolic blood pressure for a group of women is normally distributed, with a mean of 120 and a standard deviation of 12. (Round your answers to four decimal places.)
Experiment with the Example function in the Lesson Commentary using the Solver. Try out different constraints and initial guesses, modify the settings, and so on.
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
A 6-bit DAC has an input 1001012 and uses a 10.0-V reference.
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