Solve the system by the addition method.
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What will be an ideal response?
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Solve.The formula for converting from Celsius temperature to Fahrenheit temperature is TF = TC + 32, where TC is the temperature in degrees Celsius. (i) Solve the formula for TC. (ii) Find the corresponding Celsius temperature for a temperature of 161°F. Round to the nearest tenth, if necessary.
A. (i) TC = (TF - 32)
(ii) 232.2°C
B. (i) TC = TF - 32
(ii) 321.8°C
C. (i) TC = TF - 32
(ii) 85.9°C
D. (i) TC = (TF - 32)
(ii) 71.7°C
A manufacturer has a monthly fixed cost of $50,000 and a production cost of $6 for each unit produced. The product sells for $13/unit. What is the cost function? What is the revenue function? What is the profit function? ?
A. C(x) = 6x + 50,000, R(x) = 13x and P(x) = 7x- 50,000 B. C(x) = 6x + 50,000, R(x) = 6x and P(x) = 7x + 50,000 C. C(x) = 6x + 50,000, R(x) = 50,000x and P(x) = 7x + 50,000 D. C(x) = 13x + 6, R(x) = 6x and P(x) = -7x + 50,000 E. C(x) = 13x + 50,000, R(x) = 50,000x and P(x) = 7x- 50,000
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 6x + 6yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 42; at (2, 5) B. Maximum: 60; at (10, 0) C. Maximum: -24; at (4, 0) D. Maximum: 36; at (6, 0)
Sketch the graph of the function .
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