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Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. To meet the demands of regular customers, it must produce at least 80,000 kg of sauce and 800,000 kg of whole tomatoes. The cost per kilogram is $4 to produce canned whole tomatoes and $3.25 to produce tomato sauce. Labor agreements require that at least 110,000 person hours be used. Each kilogram can of sauce requires 3 minutes for one worker, and each kilogram can of whole tomatoes requires 6 minutes for one worker. How many kilograms of tomatoes should Cauchy use for each product to minimize cost? (For simplicity, assume production of y1 kg of canned whole tomatoes and y2 kg of tomato sauce requires y1 + y2 kg of tomatoes.)
a box has a heigght of 16 centimeters and a volume of 2304 cubic centimeters. what is the area of the base of the box?
Find the solutions of the exponential equation
each social security number is a sequence of nine digits. what is the proablity of randomly generating nine digits and getting your social security number?
Suppose that n = pqr is the product of three distinct primes. How would an RSAtype of cryptosystem work in this case? In particular, what relation would e and d satisfy?
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
Please provide a detailed, step by step solution for the following problem using a triple integral if possible. Find the volume inside the paraboloid Z = X^2 + Y^2 below the plane Z = 4
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed that will travel from a point 910 ft from the base (along the horizontal) to the top of the mountain.
A transportation engineering study requires that you determine the number of cars that pass through an intersection traveling during morning rush hour. You stand at the side of the road and count the number of cars that pass every 4 minutes at sev..
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