A manufacturer of baked goods produces cakes and cookies. The cakes yield a profit of $10 per unit, and the cookies yield a profit of $1 per unit. A maximum total of 100 cakes and cookies can be produced each month. The demand for the cakes is at least a third of the demand for the cookies. Finally, the production level of the cakes must be less than or equal to 100 units plus three times the production level of the cookies. How many cakes should the company produce each month to maximize profit under the given constraints? O 0 O 100 145 40

Q: Let f be a real-valued differentiable function and ƒ(1) = 1, ƒꞌ(1) = 2. What is g/(1) where g(x) = x…

A:

Q: In the graph to the right, the equation of the parabola is x = (y - 3)² 4 and the equation of the…

A: ,y=6-x

Q: Use the graph of the function f(x) shown below in order to determine lim f(x). -10-9-8-7 -6 -5 -4 -3…

A:

Q: Solve the following system of equations: (1) 4x+y-2z= -29 (2) (3) y-5z=-8 Z=-1

A: NOTE: Refresh your page if you can't see any equations..The system Ax=b is,

Q: 3. A large garden is to be made in the shape shown. The bricks along the straight sections cost…

A:

Q: Factor out the greatest common factor from the expression. 12x²y²z - 15x³y² + 6x³y²z²

A:

Q: Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is ..…

A: The solution is given below in step 2.

Q: 12. Use the method of cylindrical shells to find the volume of solid obtained by rotating the region…

A: The region bounded by the x = 6 + y2, x = 0, y =1, y =3 and rotating about x-axis.

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A:

Q: Evaluate O x3+4x²+ 6x Select the correct answer below: -1 2² ) ) + 0 O (2 In [x]-In (x² + 4x+6) +…

A: Given thattaking firstly using the partial fraction decompositionon comparing the like terms

Q: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line…

A:

Q: A tank contains 6,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped…

A:

Q: ition vector v is in quadrant II, then to find the direction angle, use the following formula: 0 =…

A:

Q: Rewrite the expression using positive exponents only. (x^ - y^)(x-4 + y- 4)

A:

Q: Solve the following system of equations: (1) 2x -y +z = 3 (2) 3x-²y+z=0

A:

Q: Solve the following system of equations: (1) -x+2y+ 6z=10 (2) -10x+20y+ 60z = 100 O Ø (the null set)…

A:

Q: The domain of f(0) = cot f(0) = cot (170) 2 is: O All real numbers except for multiples of 3 O All…

A:

Q: Which of the following is the magnitude of a vector that has an initial point of (3, -5) and…

A:

Q: Find a function f and a number a such that f(x) = a-7 f(t) + f² d t4 1+ -dt = 6x-¹ -1

A: NOTE: Refresh your page if you can't see any equations..take derivative on both sides

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent…

A:

Q: A large corporation borrows $750,000 to expand its product line. Some of the money was borrowed at…

A: Given:We are required to find:

Q: calculate the arc length over interval [0,1]

A:

Q: If a body is known to be at the point of impending motion, the friction force, F is: equal to μ₂N. O…

A:

Q: (1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use that sin x…

A:

Q: Which ordered pair is a solution to the following set of linear equations in two variables. 3x+3y=15…

A:

Q: The domain of f(0) = tan TO+1 is: O All real numbers except for even multiples of 2 3 O All real…

A:

Q: Find an equation for the graph sketched below 5432 f(x)= 7 6 573 24 2 -2 6 -7 1 2 3 4 5

A: The graph of a function is

Q: 8. If y=x then y' (4) = a. 2√² √2 In 2 a.2√2 + 2 2√2 b. 35 √√3 3 + In 3 2√3 c. 8+4ln4 d. 1

A: Firstly taking log both side

Q: Videos rning Consider using the precise definition of a limit to show that lim f(x) = x-> 4 = -18…

A:

Q: Over time, the output values of damped functions decrease. O True O False

A: Here we have to use the concept of damped function.

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A:

Q: Which of the following is the direction angle of a vector that has initial point is (-4, -1) and…

A: The initial point of a vector : (-4,-1)The terminal point of a vector : (10,-7)

Q: The formula to find the magnitude of a vector is ||v|| = √²+b²: O True O False

A: The formula for find the magnitude of vector

Q: e X and Y are random variables with the given joint density functio f(x, y) = 0.1e-(0.5x + 0.2y)…

A:

Q: 4. Find an equation for the tangent line at the given point. x² f(x) = 1 +²2²¹ (1,1/2)

A: Given:The objective is to find the equation of the tangent line at the given point .

Q: Find an angle in each quadrant with a common reference angle with 154º, from 0°<0<360° Quadrant I:…

A: An angle made by the terminal side of the given angle with the -axis is called the reference angle.

Q: Minimize subject to: 2x + y ≥ x ≥ 0 y ≥ 0 -10 Select one: z = 4x + 5y 2x - 4y ≤ 10 15 -10- 10' x a.…

A: The common region satisfied by all the given set of constraints including the non-negative…

Q: Let f be a real-valued function and lim fx 1(x) x→5 statements must necessarily be true? (1). f is…

A:

Q: Let A= B= 4-8 0 -5 10 Construct a 2x2 matrix B such that AB is the zero matrix. Use two different…

A: We use matrix operations to solve the given problem

Q: Find an equation of the plane tangent to the following surface at the given point. 7xy + 4yz + 2xz -…

A:

Q: Solve the initial boundary value problem for the given heat equation: u₁ = 3u 00 u(0,1)= u(2π,t) =…

A: The initial boundary value problem of the heat equation is ut = 3 uxx ; 0&lt;x&lt;2πu(0,t) = u…

Q: 1) The table below represents the wind chill W (x, y) where x represents the air temperature in…

A:

Q: Which of the following is the direction angle of a vector whose initial point is (3, -5) and…

A:

Q: x lim f(x)= x-5- lim f(x)= 2-5+ lim f(x) = 2-5 4 -11 4.9 -13.7 4.99 5 5.01 5.1 -13.97 -9 -14.03…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1-4 Find the area of the region that is bounded by the given curve and lies in the specified sector.…

A: Given that3. If a polar curve then area between

Q: Which of the following points does not belong to the graph of f(e) = sin (4t) (the y-values have…

A:

Q: amount corporation borrow at 8% interest? (round your answer to the nearest cent) 184°F O $81,481.48…

A:

Q: lim Sino TT 070 50-2sing

A: Limits

Q: 5. The position function of a particle is given by s (t) = t³ - 6t² + 9t, 0≤ t ≤ 4. Position units…

A: NOTE: Refresh your page if you can't see any equations..The given position function is,To find the…

Q: Which of the following points does not belong to the graph of f(t) = 2esin (4t) (the y-values have…

A: is the value obtained when  is given and the function  is applied.If , then the point is on the…