A postage company delivers parcels which are in the shape of a cuboid. The length of every side of the parcel must be a whole number of centimeters. The price in cents is determined by multiplying the weight of the parcel (to the nearest kilogram) by 30 and then adding on 20 times the length of the longest side of the parcel. What is the price for sending a parcel that measures 3cm × 5cm × 2cm and weighs 4kg?

What is the largest a parcel that weighs 5kg could be if the price for sending it is less than $3?

The company usually makes a profit on each delivery, but sometimes the cost to deliver a parcel is more than the price the company charges.

Suggest one reason why a delivery may cost more than the price charged.

The company wishes to adjust its pricing system in order to ensure that it makes a profit on every delivery. With reference to your answer to part (i), state two pieces of additional information the company would need to collect.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

answer: 40392

step-by-step explanation:

10098 x 4 = 40392