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Kite 'N String manufactures old-fashioned diagonal and box kites from high-strength paper and wood. Each diagonal kite nets the company a $3 profit, requires 8 square feet of paper and 5 feet of wood. Each box kite nets $5, requires 6 square feet of paper and 10 feet of wood. Each kite is packaged in similar containers. This week Kite 'N String has 1500 containers, 10000 square feet of paper and 12000 feet of wood. 1. How many of each type should Kite 'N String make to maximize profit? What is the maximum profit? 2. Which constraint(s) is/are binding? 3. If an additional 2000 square feet of paper is available, how many of each type to make to maximize profit? What is the maximum profit? 4. Which constraint(s) is/are binding for part 3?
Find a position vector of a particle that has the acceleration a(t) = if v(0) = and r(0) = .
A poster is to have an area of 170 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. What dimensions will give the largest printed area?
a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
the quality control manager shuts down an automatic lathe for corrective maintenance whenever a sample of the
John has 20 more chocolate bars than Rick. Cathy has 5 times as many chocolate bars as John. If Rick has r chocolate bars, how many chocolate bars Cathy has, c?
NASA launches a rocket at seconds. Its height, in meters above sea-level, as a function of time is given by .
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
Prove that the intersection of any collection of closed sets in X is a closed set and prove that the union of finitely many closed sets in X is a closed set.
TO stop a base runner standing on first base from stealing second base, the catcher must throw the ball directly from home plate to second base. Which best represents this distance?
find the equation of the line which passes through the two given pointswrite down the equations of the line described
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
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