Morton was exhausting his income by consuming 76 units of chewing gum and 49 of cigarettes a week. the price of chewing gum increased from $58 to $69. the price of cigarettes increased from $39 to $191. how much would morton's income have to rise so that he can still exactly afford 76 units of chewing gum and 49 cigarettes? (remember consumer income is always exhausted). (hint: use the budget equation with the prices and quantities given to you in the problem).

$6,814

Explanation:

Given that,

Initial price of chewing gum = $58

New price of chewing gum = $69

Initial price of cigarette = $39

New price of cigarette = $191

As per the budget equation,

Income with Initial price = Initial Price of chewing gum × quantity of chewing gum + Initial Price of cigarette × quantity of cigarette

             = $58 × 76 + $69 × 49

             = $4,408 + $3,381

             = $7,789

Income with New price = New Price of chewing gum × quantity of chewing gum + New Price of cigarette × quantity of cigarette

             = $69 × 76 + $191 × 49

             = $5,244 + $9,359

             = $14,603

Rise in income required =  Income with New price -  Income with Initial price

                                        = $14,603 - $7,789

                                        = $6,814

So, there is a need to rise the income by $6,814 and to become $14,603 to maintain the similar level of consumption.

x=3

step-by-step explanation:

this is really simple i saw that there was only one term (5x) and thought if that was 15 what would i have to multiply everything else to get it there? well if 5x became 15 then x would have to be 3 so plug the 3 in the x for the other equations and you get 15 for the other ones. so there you go. : )