Answer:
A.
Explanation:
because 500x12 = 6,000 if you need to pay 500 every month then you need to pay 6,000 every year because they are 12 months each year and 500x12 = 6,000
Since optimization is used to analyze people's choices and help them improve the outcomes of their choices, it a. both normative and positive.
Maximizing or minimizing some feature relative to some set, regularly representing more than a few picks available in a positive scenario. The function allows comparison of the special alternatives for figuring out which is probably “great.”
practically, function optimization describes a category of issues for locating the input to a given function that consequences within the minimal or maximum output from the feature. The goal relies upon on sure traits of the device, referred to as variables or unknowns.
The motive of optimization is to reap the “first-class” layout relative to a hard and fast of prioritized standards or constraints. These consist of maximizing factors together with productivity, strength, reliability, durability, performance, and utilization.
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I believe the correct answer from the choices listed above is option A. <span>Theorists who emphasize the environment in explaining individual differences typically stress the importance of early experiences. Hope this answers the question. Have a nice day.</span>
The answer is, Fertilizer A = 20, Fertilizer B = 56.
<h3>What is fertilizer and example?</h3>
- Among the organic fertilizers that occur naturally are manure, slurry, worm castings, peat, seaweed, and guano. Crops made of green manure are also raised to enrich the soil with nutrients.
- Organic fertilizers also include naturally occurring minerals including mine rock phosphate, sulfate of potash, and limestone.
<h3>Set up the equations:</h3>
- Nitrogen: 8x + 5y ≥ 440.
- Phosphorous: 2x + 5y ≥ 260.
- Potassium: 4x + 5y ≥ 360.
<h3>Find the vertices:</h3>
- It is easiest to graph the equations to find the vertices. (see attachment).
- You can also solve each system of equations to find the intersected points.
<h3>The following satisfy the "greater than or equal to" requirement:</h3>
- (0, 88) = y-intercept of Nitrogen equation.
- (20, 56) = intersection of Nitrogen and Potassium equations.
- (50, 32) = intersection of Phosphorous and Potassium.
- (130, 0) = x-intercept of Potassium.
<h3>Use vertices in cost function C(x) to find the minimum:</h3>
- C(x) = $30x + $20y.
- (0, 88): $30(0) + $20(88) = $1760.
- (20, 56): $30(20) + $20(56) = $1720 = This is the minimum!
- (50, 32): $30(50) + $20(32) = $2140.
- (130, 0): $30(130) + $20(0) = $3900.
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
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The best option for her to choose is the one called Anual Compounding. With the rest of the compoundings she will have to pay more money. With a semi-annual rate she wil have to pay almost 1000 dollars more than in an anual compounding. With a quarterly period she will have to pay almost the same amount as a semi-annual period. Now with a monthly period she would have to pay almost 2000 dollars of interest.