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1. The saw near me on River Road can convert logs into lumber and plywood at the rate of 400 units per week. 100 units of lumber and 150 units of plywood are already pre-sold to Home Depot. Profit is $20/unit for the lumber and $$30/unit for plywood. How many units of each should be produced to maximize their profit (Maximizing Problem).
2. Nutrition is always an issue in the United States. Suppose it takes 12 units of carbohydrates and 6 units of protein to satisfy my weekly nutrition requirement. Boiled ham contains 2 units of carbohydrates and 2 units of protein per pound, and costs $3.50/lb. Cheese contains 3 units of carbohydrates and 1 unit of protein per poundand costs$4.60/lb. How many pounds of each are needed to minimize costs and still meet the minimum nutrition requirement? (Minimizing Problem).
3. Solve the following:
x - 5y = 4
y = 7 - 2x
4. Solve the following:
x + 2y = 2
4x + 4y = 5
Application of calculus
you wish to have 500000 saved up in 30 years. assuming that you can get an interest rate of prime 5 on your investment
In a group of 97 students, the number taking English is twice the number taking math. Fifty-three students take exactly one of these subjects and 15 are taking neither course. How many students are taking math? How many are taking English?
Calculate d/dx cos(x) by using the chain rule and the trig identities and write tan(x); sec(x); csc(x); and cot(x) in terms of sin(x) and cos(x):
Show that given a nondeterministic finite-state automaton, there is a deterministic finite-state automaton that recognizes the same language.
Provide basic information about the BMI difference
Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
What is the square root of the 1521. once you have that answer, divide it by 13 and multiply it by 7. What would be your result?
If the correlation coefficient r is equal to 0.76, find the coefficient of determination and the coefficient of non determination.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
A researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week. What is the size of the sample? Identify the population.
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