Cathy's Towels sells three items (which it purchases from a supplier): bath towels, hand towels, and washcloths in a 3:3-2 mix (thus, a batch of 8 towels has 3 bath towels, 3 hand towels, and 2 washcloths). Each bath towel sells for $9 and costs $3. each hand towel sells for $7 and costs $4: and each washcloth sells for...
(3) for 0 <2<1 u(0,t) = 4,(2, t) = 0; u(,0) = { " 1 for 1 <<< 2 Solve the heat equation and write down the complete solution. You can skip the nonessential steps, but please show the integration.
2. Consider the matrix 11 2 4 0 0 -1 1 7 0 0 0 6 10 007) Is this matrix diagonalizable? Explain why or why not. 3. Consider the matrix /1 a b 5 0 1 C 3 A = 0 0 1 2 0 0 0 2 For which values of a, b, c E R is A...
Outback Outfitters sells recreational equipment. One of the company's products, a small camp stove, sells for $140 per unit. Variable expenses are $98 per stove, and fixed expenses associated with the stove total $189,000 per month. Required: 1. What is the break-even point in unit sales and in dollar sales? 2. If the variable expenses per stove increase as a...
Problem 11 Let A= 3 -1 0 0 16 -5 0 0 16 0 -2 15 -3 -15 2 8 a) [3 pts) Compute the characteristic polynomial of A and find its roots. b) (4 pts] For each eigenvalue of A find a basis for the corresponding eigenspace. c) [3 pts] Determine if A is defective. Justify your answer. d)...
Walsh Company manufactures and sells one product. The following information pertains to each of the company's first two years of operations: Variable costs per unit: Manufacturing: Direct materials Direct labor Variable manufacturing overhead Variable selling and administrative Fixed costs per year Fixed manufacturing overhead Fixed selling and administrative expenses $ 23 $ 11 $5 $4 $ 320,000 $ 80,000 During...
1. Suppose that the price of oranges is $1 per unit and the price of pencils is $70 per unit. In addition, suppose that your income is $1900. If you spend all your money on oranges, how many oranges can you buy? 1900 oranges 2. The table below shows total utility for two products. Suppose that the price for product...
Just required 5b Due to erratic sales of its sole product-a high-capacity battery for laptop computers-PEM, Inc., has been experiencing financial difficulty for some time. The company's contribution format income statement for the most recent month is given below: Sales (12,900 units x $20 per unit) Variable expenses Contribution margin Fixed expenses 258,000 154,800 103,200 115,200 (12,000) Net operating loss...
1 1 1 0 -5 0 -77 0 2. 0 2 2. Let A be a 4 x 5 matrix whose reduced row echelon form is R 0 0 0 3 LO 0 0 0 0 For parts (b) and (c), write the solution in parametric vector form. (a) (2 points) Is the equation Ax b consistent for all b...
2 2 2 2 2 0 2 A= 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 det (A)= } det ( Ž.4)2020 –