4.4-3. Consider the following problem. Z = 2x₁ + x2, Maximize subject to x₁ + x₂ ≤ 40 4x₁ + x₂ = 100 and X₁ ≥ 0, X₂ ≥ 0. (a) Solve this problem graphically in a freehand manner. Also identify all the CPF solutions. D.I (b) Now use IOR Tutorial to solve the problem graphically. D (c) Use hand calculations to solve this problem by the simplex method in algebraic form.

Q8: Sarah is about to take a math test that contains short answer questions worth 4 points each and word problems worth 7 points each. She is required to do at least 5 short answer problems, but no more than 10. She must do at least 3 word problems, but no more than 10. She is required to do at least 9 problems of types, but no more than 18. Formulate this problem to maximize her score.

Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130-0.75x. It also determines that the total cost of producing x suits is given by C(x)=3000+ 0,5x² a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?

How large should n be to guarantee that the Trapezoidal Rule approximation to x - 12x- 48x² + 2x + 5) dæ is accurate to within 0.1. n = How large should n be to guarantee that the Simpsons Rule approximation to 2 1(-a - 12a - 48z? + 2x + 5) dx is accurate to within 0.1. n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n Question Help: Video 1 D Video 2 Submit Question P Type here to search hp