Solve the problem.A simplified economy has only two industries, the electric company and the gas company. Each dollar's worth of the electric company's output requires 0.20 of its own output and 0.4 of the gas company's output. Each dollar's worth of the gas company's output requires 0.50 of its own output and 0.7 of the electric company's output. What should the production of electricity and gas be (in dollars) if there is a $16 million demand for electricity and a $7 million demand for gas?
A. Electricity: $115 million; gas: $103.5 million
B. Electricity: $107.5 million; gas: $100 million
C. Electricity: $125 million; gas: $92.5 million
D. Electricity: $97.5 million; gas: $103 million
Answer: B
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For the following equation, graph y = f1(x) and y = f2(x) on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture.tan x + cot x = 2 csc 2x
What will be an ideal response?
Solve the problem.Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 8 hours to make a hat and 4 hours to make an afghan, and she has no more than 68 hours available. She has material for no more than 13 items and no more than 10 afghans. The bazaar will sell the hats for $22 each and the afghans for $12 each. How many of each should she make to maximize the income for the bazaar? What is the maximum income?
A. 10 hats, 3 afghans; $256 B. 4 hats, 9 afghans; $196 C. 6 hats, 7 afghans; $216 D. 9 hats, 4 afghans; $246
Solve the problem.Consider an economy with only two industries: A and B. Suppose industry B needs 17 cents worth of A's product for each 1 dollar of output B produces and that industry A needs 24 cents worth of B's product for each 1 dollar of output A produces. Consumer demand for A's product is 1200 dollars and for B's product is 750 dollars. Write an augmented matrix for this economy.
A. 
B. 
C. 
D. 
Find the average rate of change for the function between the given values.f(x) = 4x2; from 0 to 
A. 2
B. 
C. - 
D. 7