Solve the following LP Maximize $4x + $3y  Subject to            2x + 4y ≤ 80                               3x + 6y ≥ 30                               -3x + 10y ≥ 0                               x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What is the optimal solution and objective function value if the first constraint changes to 2x + 4y ≤ 90

Q: Determine whether the statement below is true or false. Justify the answer. Two matrices are row…

A:

Q: 1 2. Given the graph of y = f(x), sketch a clearly labelled graph of y=- f(x) on the same set of…

A:

Q: Jack sold a t-shirt for $100, he made a profit percentage of 25%. Calculate: a. The cost price of…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Let f be the continuous function defined on [-6, 6] whose graph consists of a quarter circle and…

A: given:f is the continuous function defined on [-6,6] whose graph consists of a quarter circle and…

Q: y'-2 xy=2 y (0)=1

A:

Q: Directions: Find the area of the region under the graph of the following function. • If the region…

A:

Q: Suppose ƒ(x) = (x − 5)(x + 6) (x + 5). a. Determine the roots of the function f. x = Preview b. What…

A:

Q: Eli currently has 45 tulips in his yard. Each year he plants 9 more. (a) Which of the following is a…

A:

Q: Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common…

A: Given planes are Write the above system in matrix form, which is given belowNow, write the augmented…

Q: A pyramid at the Muttart Conservatory in Edmonton has a square base with 25.70 m sides and is 24.00…

A: The given square pyramid has base  and its height is .The aim is to find the slant height .

Q: Solve x = " W = x = y y -x + 2y y = + + - N - 2z + ++ W W <-2 W 3z + 5w 4 = 1 = 4 2 = 2= 9-

A:

Q: a) A periodic waveform is defined by (ii) f(t) = (iii) T with f(t + mT) = f(t) and m is an integer.…

A:

Q: MODELING REAL LIFE You and two friends plan to walk your dogs together. You want the meeting place…

A:

Q: ulation grows according to an exponential growth model. The initial population is P₁ = 17, a h rate…

A: We have to find the exponential growth model.

Q: The solution of the linear system +2x +3y -4z +y -2z W 2w 3w -x -2y 422 -4x -21 +3% -X +z = -5 -7 7…

A: Let Ax=b be a system of linear equations  , then If rank (A|b) ≠ rank(A) , then system has no…

Q: Solve the initial value problem for t > -1 with y(0) = 17. y = 10(t+1) dy dt - 8y = 16t,

A:

Q: Mary invests $1500 in an account that earns an interest rate of 4% compounded continuously. Will she…

A: The objective of this question is to determine whether Mary will have enough money in her account…

Q: Need help coming with equation to find out possible combinations that fit following problem...…

A: To solve this problem, we will use a system of equations with two conditions.Let T be the number of…

Q: Directions: Find the area of the region under the graph of the following function. If the region…

A:

Q: 1 jy' + jy = 2 + t

A:

Q: Are the data displayed in the graph above discrete or continuous? What is the level of measurement…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Calculate dy. You need not expand your answer. dx dy dx = x = (√x + 9) ( √x + ²/² ) 3 y x X

A:

Q: f(x) = = f(x) = e²x, Σ( n = 0 R = ∞ 218 n! a = 9 Find the associated radius of convergence, R.

A: To find the Taylor series of function f(x)=e2x  at a=9

Q: What does the average cost per board tend to as production increases?  Round to the nearest cent.…

A: The objective of this question is to find the average cost per board as the production increases for…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x (t), whose…

A: point of inflection at the position  mean  that is that point changes it's concavity around the…

Q: John is 23 years old and rents a car for 4 days, from Thursday through Sunday. The cost of the car…

A: The objective of this question is to calculate the total cost for John to rent a car for 4 days,…

Q: Directions: Approximate the following definite integral using the Midpoint Rule, Trapezoidal Rule,…

A: In this question, we will approximate the definite integral.

Q: A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, and…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Eli currently has 45 tulips in his yard. Each year he plants 9 more. (a) Which of the following is a…

A: The objective of the question is to find a recursive formula and an explicit formula for the number…

Q: rections: Determine if the given function is a solution of the following initial value problem.…

A:

Q: b) Calculate the Laplace transform of the piecewise function in figure 1. f(t) 2 0 0 1 2 3 Figure 1…

A:

Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: For a science experiment, a projectile is launched. Its path is given by h(d) = -4.0d² +61.3d +…

A: To  find the maxima or minima  of the function f(x). We need to differentiate the function f(x) with…

Q: 32. Prove the following stronger version of Dirichlet's approximation. If a is a real number and n…

A: the idea is to use the Pigeonhole principle

Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

A:

Q: Let p(x) = ax + An−1x²- + + a₁x + ao be a polynomial function with n > 1 an odd integer and an a…

A:

Q: (3) (a) Find the smallest positive solution of the system of linear congruences x = 3 (mod 5) * = 7…

A: We solve this using Chinese Remainder Theorem

Q: Recall that P₂(R) is the vector space of all polynomials of degree at most 2 with coefficients in R,…

A:

Q: A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head…

A:

Q: Consider the differential equation y"= e ² + xy' where y is considered to be a function of x. In…

A:

Q: Imani is a DJ. Every week she buys 8 new albums to add to her collection. She currently owns 252…

A:

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 3…

A: Given that the function is:                      To find the Maclaurin series for the given…

Q: c) Use Euler methods for the numerical solution of the equation y' = y + sinx, from x = 1 to x = 1.3…

A: Here the given differential equation is With the step size

Q: Directions: Determine whether the following integral is divergent or convergent. If it is…

A:

Q: Let f(z) be holomorphic on C (entire function). (a) Show that for any a, b e C, there exists R> 0…

A:

Q: Use Euler's method with n = 4 to estimate y(0.4), where y(t) is the solution of the initial-value…

A:

Q: Let f(x) = √34+x, a = 2, and Ax = 0.1. Estimate Af using the Linear Approximation and use a…

A:

Q: Emily saved up $500 for a 3-night vacation. The $500 will have to cover the costs of the hotel room,…

A: The objective of the question is to determine which vacations Emily can afford with her budget of…

Q: Determine whether the statement below is true or false. Justify the answer. Every elementary row…

A: Every elementary row operation is reversible You can reverse multiplying by a constant by…

Q: Use the differential equation below to answer the following questions: y = y-2 PART 1. Find the…

A: