New Mask! 4. Calvin and Clayton love sporting their fashionable Covid masks but are looking for something new. They research Honeywell, one of the leading manufacturers of the N95 respirator masks based out of California, U.S.A. They learn that Honeywell produce masks through numerous sewing machines within a factory, and they are coming out with a new type of disposable mask. The demand function for the new mask is p(x) = -4x + 42.5, where x is the quantity of masks sold in thousands and p(x) is the price in dollars (in thousands). Honeywell is planning on buying a new sewing machine for the plant. The cost function for the machine is C(x) = 8.8x + 55.4. alculate the profit function for the new sewing machine. Calculate the break-even points for the new machine. etermine the maximum profit for the machine, as well as the number of masks that will duce that maximum profit.

Q: When a species is introduced to a new environment, it often has no natural predators and multiplies…

A: Consider the given function of population growth.

Q: thority would be likely to block this merger. [max: 50 words] 2. There are n ≥ 2 profit-maximising…

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Q: 30. Agriculture. A com the optimum time to have fruit picked and sold. If the pears are picked now,…

A: Given, For present Price of pears = 30 per pound Average pears per tree = 60 pounds After 4 weeks…

Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

A:

Q: 1 If two products A and B have demand functions that depend on each other, 9, = 100 - 5pa+ PAPB =…

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Q: Find the breakeven point of a company if the cost function is C(x) = 100 – 15x and the %3D demand…

A: The breakeven point is obtained by solving the equation C(x)=x p(x). The value(s) of x is defined as…

Q: 14. Sanja and Co. manufactures toys and sells at three places, Agra, Benguluru and Chennai by using…

A: Let x,y and z be the numbers of toys produced at Agra, Bengaluru and Chennai respectively.Profit on…

Q: Example 11. Find the elasticity of demand for the function p= 100 – x-x.

A:

Q: The manufacturing laundry sinks has fixed costs if $100 per day but has total costs of $2,500 per…

A:

Q: A particular notebook computer has a price/demand function of p(n) = 1200 – 36n dollars, where n is…

A: Given, the demand/price function pn=1200-36n where n is the number in thousands of computers sold in…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.