A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? Note that the ALEKS graphing calculator can be used to make computations easier. Model A: Model B: unit(s) unit(s)

Q: 4x+12y=-32 - 3x - 14y= 14 Solve the system by completing the steps below to produce a reduced…

A:

Q: 4 πR³ 3 (b) The volume of a sphere of radius R is V=- Simplify as much as possible. Solve for R in…

A: The volume of a sphere of radius R is V=4πR33

Q: (x - 5)² + (y + 2)²=121

A: Given that the equation

Q: 1. If cosa = 0.4 and cosß= 0.7, find the values of using trigonometric identities Think & Prepare…

A: Consider the given details :

Q: Two people are placing a principal amount of $3,425 in a savings account with 4.71% annual interest…

A: Two people are placing a principal amount of $3,425 in a savings account with 4.71% annual interest…

Q: At a 3% rate of inflation, how much will a $2.80 half gallon of ice cream cost in 47 years?

A:

Q: In a race in which seven automobiles are entered and there are no ties, in how many ways can the…

A:

Q: Simplify. Do not use negative exponents in your answers. a. 2-3 b. 5(x²y³)⁰

A:

Q: The height y (in feet) of a punted football is approximated by where x is the horizontal distance…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 3. Solve (5)*4 = (3*)*+7 4. Solve log3 (2r-3) = log, (20x-54) 5. Solve log₁ (3x + 4) - log, 18 =…

A: log418=log4(x2/18 -x/6 +39)-log49x

Q: Solve the 2nd order differential equation. y'' - 2y' + y + x=0. Solve analytically using y(0) = 0…

A:

Q: Follow the steps for graphing a rational function to graph the function R(x)=- x²-x-6 Determine the…

A: The given function is

Q: Ay a) x-intercepts: c) Domain: e) Where is the function increasing? b) y-intercept: d) Range: f)…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: A time traveler can take 4 books with him, and he has 54 books to choose from. How many different…

A: The objective of this question is to find out the number of ways the time traveler can select 4…

Q: Solve the proportion. x-5 2 || O {114} 7 20 43 10 75 7 O57 10

A:

Q: Solve the system by the method of your choice. If the system does not have a unique solution, then…

A:

Q: Solve the log equation. Write the solution set with the exact solutions 44) In x + In(x - 5) =…

A: Given,

Q: Give a basis for the null space of the matrix A. 100-1 A = 0 1 0 -4 0 0 1 -1 Number of Vectors: 1…

A:

Q: The half-life of nicotine in the body is 2 hours. What is the hourly decay rate? Round your answer…

A:

Q: Find the measure of 4ACB for the congruent triangles ABC and A'B'C'. XACB= 14 B A 77° 32 -C 33° B' ?…

A: We are given two triangles ABC and A'B'C' .

Q: Find projs u. S = span {-}--D] projs u =

A:

Q: 31. Solve the equation. 25 = 70

A: 2x5=70

Q: What are the lines plotted in this graph as to x and y-intercept

A: Consider the given graph:

Q: 2. Write each of the system of equations below as a matrix equation of the form AX-B. Then solve…

A: Here we will find first inverse of A after that we will solve it

Q: Use the formula for the sum of the first n terms of a geometric series to find S, for the series 28,…

A:

Q: a. 4-2 Simplify all of the following, write answers with positive exponents: b. 3x¹y5 (9x³y – xy²)…

A:

Q: A man covered a distance of 200 kms partly by train and partly by bus. Had he covered the entire…

A: Let's denote the distance covered by the man by train as Dt​ and the distance covered by bus as Db​.…

Q: List all of the distinct eigenvalues of A. Enter your answer as a list of numbers separated by…

A: The given matrix is

Q: Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced…

A: I have appended the explanations in Solution procedure

Q: Delivered Papers АУ 500 400 300 200 100 0 0 1 2 3 4 5 6 7 8 9 10 Days

A: The given graph shows the delivery of newspapers in this week.The aim is to find the slope of the…

Q: In which quadrant would you find the point (-3, -5)

A: Given point (-3,-5)

Q: Determine which of the following transformations are linear transformations. A. T(x, y, z) = (2x,…

A:

Q: oblem #3: Let A = 3 7 1 -3 -4 -5 -5 T -1 0 1 -2 (a) Find the dimension of the row space of A. (b)…

A: IN THIS QUESTION WE WANT TO FIND THE DIMENSIONS OF NULL SPACE AND ROW SPACE OF MATRIX A

Q: Find the standard deviation for the group of data items.   11​, 11​, 12​, 12​, 13​, 13

A: The objective of this question is to calculate the standard deviation of a given set of data. The…

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A:

Q: Use the change-of-base and a calculator to approximate the logarithm to 4 decimal places. log517…

A: Let assume,.

Q: What is R(x) for this value of x? find C(x) for this value of x.

A:

Q: Express the following as a single fraction: 1 1 (a) + xy x² Hint: Treat each variable as a prime…

A: (a) 1xy+1x2

Q: Solve (1/8)((sqrt 2)^x+2) = 1/2) algebraically.

A: The objective of the question is to solve the given equation for the variable 'x'. The equation is…

Q: In a certain portion of downtown Chicago, all streets go either east-west or north- south. Each city…

A:

Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A: The objective of this question is to calculate the expected value of a game that involves rolling a…

Q: 1 Question 1: Let R be a relation on the set of real numbers defined as follows: For any two real…

A: Given: R is a relation on the set of real numbers defined as,for any two real numbers x and y , ((x,…

Q: 2. The area of a square is 196 sq in. Find its side length.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Silicon-32 decays according to a continuous exponential decay model. The half-life of silicon-32 is…

A: The formula of quantity of the substance remaining in terms of half life is as below:wherequantity…

Q: For the investment described below, V is the investment amount in dollars, t is the elapsed number…

A:

Q: The amount of particulate matter left in solution during a filtering process is given by the…

A: We have find the amount of particulate matter left in the solution after 5 filtering steps

Q: Find the annual growth rate of the quantity described below. A stock portfolio drops to one-fifth…

A:

Q: Find the greatest common factor of the following numbers. 243 26 33 5 11 ● ● 52 73 ● ● 26. 33 53 11…

A:

Q: 2. Let T: Mnxn → Mnxn be defined by T(A) = AT i) Show that T is a linear transformation ii) Show…

A:

Q: Find the quotient and simplify 2 X +9x+18 2 x +6x+8

A: