Regression splits island ferry costs into fixed and per-crossing parts, and three vessel sizes then test for scale economies, in this MT445 Unit 5 cost estimation memo. Searches like "mt 445 unit 5 assignment example", "mt445 unit 5 sample" and "mt445 unit 5 example" land here.
What a finished MT445 Unit 5 cost estimation memo looks like
A four-page memo to the owners with two tables and a short appendix. The first table reports the cost regression: 24 in-season months across four seasons, monthly operating cost against crossings, which ranged from 132 to 451. Run as supplied, it gives $153,619 of monthly fixed cost and $218.20 a crossing, with R-squared at 0.917. A second run indexes crossings to each season's fuel price, tightening the per-crossing figure to $211.90 and lifting R-squared to 0.941. The second table compares three vessel sizes on cost per seat-crossing, with capital annualized over 20 years at 5 percent: $1.59 for the 150-seat boat, $1.26 for the 400-seat car ferry and $1.13 for a quoted 600-seat hull. A load-factor line shows the 400-seat figure per passenger climbing from $1.49 to $4.21 as loads fall.
How a MT445 Unit 5 example is structured
Findings arrive in the first two sentences, because owners reading a memo want the split and its use before the method. Method follows, with the regression treated as an estimating tool rather than an answer: the intercept is read as monthly cost that does not vary with sailing, the slope as cost per crossing, and each is given its standard error. Fuel indexing earns a paragraph, since diesel prices moved across the four seasons and would otherwise blur the slope. The memo then separates two ideas that drafts often merge. Average cost per crossing drops from $1,234 at 150 crossings to $553 at 450, but that is fixed cost spreading within one fleet, a short-run effect. Scale economies are a long-run question about vessel size, so they are tested with the seat-crossing comparison and then qualified by load factor.
The split in two sentences
About $153,300 a month does not change with sailing, and each crossing adds roughly $212 once fuel prices are accounted for. The memo leads with those figures and the decisions they serve.
Regression, read as an estimate
Intercept, slope, standard errors and R-squared appear for both runs. Indexing crossings to each season's fuel price narrows the slope's standard error from 14.0 to 11.4 and moves the estimate by about $6.
Overhead spreading is not scale
Average cost per crossing falls from $1,234 at 150 crossings a month to $553 at 450. The memo attributes this to fixed cost spread over more sailings within an unchanged fleet.
Three hulls, cost per seat-crossing
With capital annualized, the 150-seat boat costs $1.59 per seat-crossing, the 400-seat car ferry $1.26 and a quoted 600-seat vessel $1.13. Larger hulls are cheaper per seat, which is the actual scale test.
Economies that depend on full boats
Per passenger, the 400-seat figure is $1.49 at 85 percent loads and $4.21 at 30 percent. The memo argues vessel choice should rest on realistic loads, a point the replacement decision picks up.
Where marks go in MT445 Unit 5
Falling average cost read as proof of scale economies is the slip that costs cost estimation memos the most credit, when a fleet of fixed size is simply spreading its overhead. Graders look for the short-run and long-run ideas kept apart. Regressions reported without interpretation, or with the intercept described as a constant rather than as monthly fixed cost, leave the memo's purpose unmet. Data problems deserve naming: winter maintenance booked outside the sailing months is missing from these observations, so the intercept understates annual fixed cost, and a memo that says so reads as careful. Nominal fuel costs left unadjusted across seasons blur the slope. Scale comparisons that ignore how full a larger vessel would run overstate its advantage. Format matters as well; a finding buried on page three costs presentation credit under most rubrics.
Get a MT445 Unit 5 example written to your instructions
Share the cost data or scenario your Unit 5 memo draws on, whether a ledger, a supplied regression or a description of the business, together with the prompt and rubric. The memo returns in 24-48h with fixed and variable costs separated, short-run and long-run effects kept apart, and data limits named. No fee applies to your first custom sample.
MT445 Unit 5 questions, answered
How does a regression separate fixed from variable cost?
Regress total cost on a measure of output, such as crossings, units or labor hours. The intercept estimates cost that does not change with output over the observed range, and the slope estimates cost added by each unit. Treat the intercept cautiously if your data never come near zero output, since it is then an extrapolation rather than an observed figure.
Is falling average cost the same as economies of scale?
Not necessarily. In the short run, with plant or fleet fixed, average cost falls as fixed cost is spread over more output. Economies of scale describe long-run average cost falling as the whole operation grows, capital included. Many MT445 prompts test exactly this distinction, so say which one your data can actually show before drawing a conclusion.
Why adjust costs for fuel prices or inflation?
Because a regression across several years reads any change in input prices as if it were a change in how costs respond to output. If diesel cost more in one season, that season's crossings look expensive for reasons unrelated to sailing. Deflating or indexing the affected cost removes that noise, and your memo should name the index it used.