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Set up the initial simplex tableau for each of the given problems. You will be asked to solve these problems in Exercises 19-22.
Window Manufacturing A window manufacturing company can make 3 windows in small, medium, and large. Each window is worked on by three technicians: Todd, Donna, and Jackson. Todd can work up to 25 hours per week, Donna can work up to 45 hours a week, and Jackson can work 40 hours a week. Todd works 2 hours on the small windows, 1 hour on the medium windows, and 1 hour on the large windows. Donna works 2 hours on the small windows, 3 hours on the medium windows, and 2 hours on the large windows. Jackson works 1 hour on the small windows, 2 hours on the medium windows, and 4 hours on the large windows. The manager is worried about getting overextended, so no more than 4 large windows can be done in a week. The small windows sell for $180, the medium windows for $200, and the large windows for $220. Find the number of each size of windows that should be made weekly in order to maximize profit. Find the maximum possible profit.
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Chapter 7 Solutions
Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)
- No chatgpt pls will upvote Already got wrong chatgpt answerarrow_forwardFind all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent line.arrow_forwardx 1 3 5 7 f -1 3 15 35 7 • Sea) dx from the faible find: 1 f(x) dx by Sempeson method 8 2 if S .dx find h? ? 2Xarrow_forward
- 3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and independent variables. f(t)=4t(2t⭑+4)³ a. f(t)=4t (2t+4)³ (Answer must be factored.) b. y= 3 1 (2x³-4) 6arrow_forward4.3 The Chain Rule 1. {Algebra review} Let f(x)=2x²-5 x and g(x)=6x+2. Find f[g(−5)]. 2. {Algebra review} Write h(x)=√√8x-3 as the composite of two functions f(x) and g(x). (There may be more than one way to do this.)arrow_forward4.4 Derivatives of Exponential Functions 1. Find derivatives of the functions defined as follows. a. g(t)=-3.4e b. y=e√x c. f(x)=(4x³+2)e³* d. y=- x²arrow_forward
- 4.5 Derivatives of Logarithmic Functions 1. Find the derivative of each function. a) y=ln (-3x) b) f(u)=nu c) 9(x)=x-1 lnxarrow_forward3. If the total revenue received from the sale of x items is given by R(x)=30ln (2x+1), While the total cost to produce x items is C(x)=✗, find the following. a) The marginal revenue b) The profit function P(x) (Hint: P(x)=R(x)-C(x)} c) The marginal profit when x=20 d) Interpret the results of part c).arrow_forward2. The sales of a new personal computer (in thousands) are given by S(t)=100-90€-04: Where t represents time in years. Find and interpret the rate of change of sales at each time. a) After 1 year b) After 5 years c) What is happening to the rate of change of sales as time goes on? d) Does the rate of change of sales ever equal zero?arrow_forward
- 2. Find the equation of the line tangent to the graph of f(x)=ln(x²+5) at the point (-1, In 6). Do not approximate numbers.arrow_forwardonly need help with question 3arrow_forward6. The number of viewers of a television series introduced several years ago is approximated by N(t)=(60+2t2/3,1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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