The graphical illustration is given in the attachment. It shows how a 20 percent decline in the price of business travel would impact this company’s budget set if the price of business travel was initially $1,000 per trip and the price of electronic media was $500 per hour. This exercise is about budgeting.
No. The company is not allocating resources efficiently.
The new price of business travel when the cost of business travel is lowered by 20% is derived as follows:
1000 * 20%
= $200
New price =
1,000 - 200
= $800
Recall that the budget limit is $5,000:
Number of travel units assuming the budget is fully allotted for travel
= 5000/800
= 6.25 journeys
Number of travel units assuming the funding is entirely devoted to media
= 5000/500
= 10 media
From the above, we can create a budget line B2 with media on the y-axis and travel on the x-axis.
When the price is dropped, the budget line shifts to the right, reading the slope and steepness of the budget line.
It is to be noted that the Marginal Rate of Substitution (MRS) is the gradient of the budget line. This line is derived by the change in y-axis and by the change in the x-axis.
Thus:
Budget line = - dy/dx
= - 10/6.25
= -1.6
This indicates that for every unit of business trip, we must sacrifice 1.6 units of media.
Remember that the MRS is -1, which implies that for every unit of business trip, the corporation gives away one unit of media.
In other words, they are paying the same price as for business travel, resulting in an inefficient use of resources.
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