Weekly production schedules are needed for the manufacture of two products X and Y. Each unit of X uses one component made in the factory, while each unit of Y uses two of the components, and the factory has a maximum output of 80 components a week. Each unit of X and Y requires 10 hours of subcontracted work and agreements have been signed with subcontractors for a minimum weekly usage of 200 hours and a maximum weekly usage of 600 hours. The marketing department says that all production of Y can be sold but there is a maximum demand of 50 units of X, despite a long-term contract to supply 10 units of X to one customer. The net profit on each unit of X and Y is $200 and $300 respectively.

Linnear Programming step by step, show work manually without using excel, Include a graph, and corner. I would like to try to understand how the question is done step by step. Thank you so much

Prove that the sum of angles of a hyperbolic triangle is less than 180.

Detailed Proof

Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.

5) -3 < 4 p - 3 ? 13

WHY DO I NEED TO STUDY POLYNOMIALS? HAVE I EVER GOING TO USE IT? JOBS THAT USE POLYNOMIALS Visit the following site, read and give an example of your understanding use of polynomials in your job or any example you have. https://careertrend.com/list-6330381-jobs-use-polynomials.htm (Links to an external site.)Links to an external site.l

A massive oil spill in the gulf unleashes approximately 20,311 barrels of oil into the Gulf each hour. This creates an expanding circular layer of oil on the water’s surface about 1/16 inches thick with the center being the source of the spill. Letting R(t) represent the radius (in miles) t hours after 6:00pm, the growing radius of this oil spill can be modeled by the formula: R(t)=1/2 √(t+1) A.) What time did this spill start? (When was the radius zero?) B.) Fill in the table below: (round your answer to 2 decimal places) Table 1 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 R(t) miles C.) If left unchecked, how long will it take this oil spill to reach a 2 mile radius? The nearest containment crew is on the Louisiana coast 50 miles away. At 6:00 pm, containment vessels instantly head towards the center of this spill, but the fastest these containment ships can travel is only 15 mph. D.) Write an equation that represents the distance D(t) in miles that the containment vessel is from the center of the spill t hours after 6:00 pm. E.) Fill in the table below: Table 2 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 D(t) miles F.) When will the containment vessels reach the center of spill? G.) By observing the two tables above, in which 30 minute interval will the containment vessels reach the outer edge of the spill? H.) Algebraically find exactly (to the nearest minute) when the containment vessels will reach the outer edge of the oil spill. You should get two answers…explain them. I.) What is the radius of the oil spill at this time? J.) To manage the spill, one containment vessel is needed every 800 feet around the outer circumference of the spill. How many vessels do they need? (5280 ft. = 1 mile)

Slope is used to construct wheelchair ramps, roads and stairs, according to the University of Regina's Math Central website. Slope is a way of describing the steepness of an object. Give two practical examples of how is slope used in real life?

Use the factor theorem to show that x+2 is a factor of f(x). The find all real zeroes for the polynomial given that x+2 is a factor of f(x). f(x) = x^3 -5x^2 -2x +24

A company needs to purchase larger aircraft. The options included 20 of type A​ and/or type B aircraft. To aid in their​ decision, executives at the company analyzed the following data. Type A Type B Direct Operating Cost ​$1600 per hour ​$500 per hour Payload 32 comma 000 pounds 4000 pounds The company was faced with the following constraints. ​1) Hourly operating cost was limited to ​$40 comma 000. ​2) Total payload had to be at least 512 comma 000 pounds. ​3) Only twenty type A aircraft were available. Given the​ constraints, how many of each kind of aircraft should the company purchase to maximize the number of​ aircraft? To maximize the number of​ aircraft, the company should purchase nothing type A aircraft and nothing type B aircraft.

please solve this systems of equations step by step, you rock:

8.3z=3.6-5.6y

8.3z=5.7+1-(1.2+3.2)x

z=x+y

To attend a local auto show, children admission was $5, adult admission was $9, and senior admission was $7. In all, 149 people attended the show, bringing in a total of $1061 of admission sales. Prior to leaving, every adult and senior filled out one free raffle ticket for a chance to win a new Ferrari. A total of 110 raffle tickets were filled out. How many children attended the show? How many adults attended the show? How many seniors attended the show?

• The range of f is the domain of g and the domain of f is the range of g.
•

f(a) = b if and only if g(b) = a.

•

(a, b) is on the graph of f if and only if (b, a) is on the graph of g.

The function

f(x) = x³ + 7x + 5

is one-to-one. Since finding a formula for its inverse is beyond the scope of this textbook, use Properties of Inverse Functions Theorem to help you compute

f ⁻¹(5), f ⁻¹(13), and f ⁻¹(−3).

256. The equation y − 5 = m(x − 2) represents a line, no matter what value m has. (a) What are the x- and y-intercepts of this line? (b) For what value of m does this line form a triangle of area 36 with the positive axes? (c) Show that the area of a first-quadrant triangle formed by this line must be at least 20.