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An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same) circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours) each, and the B-200 requires 30 minutes (.5 hours) each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What are optimal weekly profits?
The yearly production of a 5 foot orange tree is 36 pounds of oranges. A 14 foot tree produces 72 pounds. What is the predicted production of an 18 foot tree?
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
Rate of change occurs in a side of a triangle with respect to the change occurs in another side - Find the rate it is dropping?
a telemarketer must call 157 U.S. phone numbers every shift to meet their quota. How many buttons will have to be pushed to mke 157 long distance calls?
Let R ba a partial order on S, and suppose that x is a unique minimal element in S. Prove that S is finite, then xRy for all s in S
ompare the two forecasts by using MAD. Which forecast appears to be more accurate? .
an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
Find the inverse of the matrix.
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Suppose that a probability distribution has a mean 20 and standard deviation 3. The Chebychev inequality states that the probability that an outcome lies between 16 and 24 is
Compute the mean & the standard deviation of the total amount that this investor in 1 year from these four investments.
stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?
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