Math

CalculusQ&A Library35. Superb Bike Company makes two models of bikes: the Tourismo and theRacer. Their profit is $10 on a Tourismo and $30 on a Racer. The assemblydepartment uses 2 hours on each Tourismo and 10 hours on each Racer. Atmost 520 assembly hours are available each day. The painting departmentcan handle at most 100 bicycles per day. The sales department says thatthey can sell at most 80 Tourismos and 50 Racers per day. What shouldSuperb's production be set at?Question

Asked Dec 11, 2019

20 views

Step 1

As per the question, the profit of Superb is 10 on a Tourismo and 30 on a Racer.

**Therefore, let x be the number of units of Tourismo produced in a day and y be the number of units of Racers produced in a day.**

The assembly hours required for 1 unit of Tourismo is 2.

The assembly hours required for 1 unit of Racers is 10.

The total number of assembly hours available each day is 520.

**First of all, get the objective function as per the condition is given for the profit.**

**Then, get the first constraint using the given number of hours for assembly. **

Step 2

Now, the painting dept can handle at most 100 units per day.

The sales dept. can sale at most 80 units of Tourismo and 50 units of Racers.

**By considering the above two conditions get two more constraints.**

Step 3

Now plot the graph using constraints 1, 2, and 3 and mark the corner points.

**Then feasible region is the region made by the ...**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Integral of sqrt(4-x^2)

A: To integrate an indefinite integral

Q: Find the volumes of the solids generated by revolving the region in the first quadrant bounded by th...

A: The given curves are , x = 0 and y = 1.

Q: A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If mate...

A: Let x be the length and width, and y be the height of the rectangle box with square base.Therefore, ...

Q: Name: ID: A 9. Determine the interval on which the function in the graph below is decreasing. -42 12...

A: Dear student, since you have posted two questions, we will answer the first question. Please repost ...

Q: Find all asymptotes of g, where g(x) = (e^x-e^-x)/(2e^x+3e^-x)(use limits in your solution)

A: The given function is,

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =...

A: The given equation of the base of the region enclosed by the parabola

Q: Find parametric equations for the line. (Use the parameter t.) The line through the points (0, , 1) ...

A: The points through which the given line passes are,

Q: please help me with this exercise

A: Given that the line passing through the point (2,3,0).

Q: dy = 18x-6x for each x. dx Find the equation of the curve that passes through (2,46) if its slope is...

A: Given